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Finding the Fourth Proportional to 1,655.79, 2,283.09 and 1,057.47

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Solution

The fourth proportional to 1,655.79, 2,283.09 and 1,057.47 is: 1,458.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,655.79 : 2,283.09 = 1,057.47 : x
  2. Step 2: Convert to fraction form
    1,655.79/2,283.09 = 1,057.47/x
  3. Step 3: Cross multiply
    1,655.79x = 2,283.09 × 1,057.47
  4. Step 4: Simplify right side
    1,655.79x = 2,414,299.18
  5. Step 5: Solve for x
    x = 2,414,299.18/1,655.79
  6. Step 6: Final answer
    x = 1,458.10

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