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Finding the Fourth Proportional to 2,957.78, 4,437.02 and 983.59

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Solution

The fourth proportional to 2,957.78, 4,437.02 and 983.59 is: 1,475.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,957.78 : 4,437.02 = 983.59 : x
  2. Step 2: Convert to fraction form
    2,957.78/4,437.02 = 983.59/x
  3. Step 3: Cross multiply
    2,957.78x = 4,437.02 × 983.59
  4. Step 4: Simplify right side
    2,957.78x = 4,364,208.50
  5. Step 5: Solve for x
    x = 4,364,208.50/2,957.78
  6. Step 6: Final answer
    x = 1,475.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.