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Finding the Fourth Proportional to 1,477.52, 2,037.62 and 1,006.12

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Solution

The fourth proportional to 1,477.52, 2,037.62 and 1,006.12 is: 1,387.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477.52 : 2,037.62 = 1,006.12 : x
  2. Step 2: Convert to fraction form
    1,477.52/2,037.62 = 1,006.12/x
  3. Step 3: Cross multiply
    1,477.52x = 2,037.62 × 1,006.12
  4. Step 4: Simplify right side
    1,477.52x = 2,050,090.23
  5. Step 5: Solve for x
    x = 2,050,090.23/1,477.52
  6. Step 6: Final answer
    x = 1,387.52

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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.