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Finding the Fourth Proportional to 1,478.58, 2,037.36 and 1,005.66

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Solution

The fourth proportional to 1,478.58, 2,037.36 and 1,005.66 is: 1,385.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478.58 : 2,037.36 = 1,005.66 : x
  2. Step 2: Convert to fraction form
    1,478.58/2,037.36 = 1,005.66/x
  3. Step 3: Cross multiply
    1,478.58x = 2,037.36 × 1,005.66
  4. Step 4: Simplify right side
    1,478.58x = 2,048,882.40
  5. Step 5: Solve for x
    x = 2,048,882.40/1,478.58
  6. Step 6: Final answer
    x = 1,385.71

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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.