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Finding the Fourth Proportional to 3,045.70, 4,565.85 and 1,070.38

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Solution

The fourth proportional to 3,045.70, 4,565.85 and 1,070.38 is: 1,604.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,045.70 : 4,565.85 = 1,070.38 : x
  2. Step 2: Convert to fraction form
    3,045.70/4,565.85 = 1,070.38/x
  3. Step 3: Cross multiply
    3,045.70x = 4,565.85 × 1,070.38
  4. Step 4: Simplify right side
    3,045.70x = 4,887,194.52
  5. Step 5: Solve for x
    x = 4,887,194.52/3,045.70
  6. Step 6: Final answer
    x = 1,604.62

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