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Finding the Fourth Proportional to 2,056.48, 2,833.02 and 1,700.92

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Solution

The fourth proportional to 2,056.48, 2,833.02 and 1,700.92 is: 2,343.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,056.48 : 2,833.02 = 1,700.92 : x
  2. Step 2: Convert to fraction form
    2,056.48/2,833.02 = 1,700.92/x
  3. Step 3: Cross multiply
    2,056.48x = 2,833.02 × 1,700.92
  4. Step 4: Simplify right side
    2,056.48x = 4,818,740.38
  5. Step 5: Solve for x
    x = 4,818,740.38/2,056.48
  6. Step 6: Final answer
    x = 2,343.20

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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.