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Finding the Fourth Proportional to 2,969.46, 4,096.60 and 1,710.22

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Solution

The fourth proportional to 2,969.46, 4,096.60 and 1,710.22 is: 2,359.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.46 : 4,096.60 = 1,710.22 : x
  2. Step 2: Convert to fraction form
    2,969.46/4,096.60 = 1,710.22/x
  3. Step 3: Cross multiply
    2,969.46x = 4,096.60 × 1,710.22
  4. Step 4: Simplify right side
    2,969.46x = 7,006,068.91
  5. Step 5: Solve for x
    x = 7,006,068.91/2,969.46
  6. Step 6: Final answer
    x = 2,359.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.