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Finding the Fourth Proportional to 2,700.65, 4,045.68 and 2,406.78

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Solution

The fourth proportional to 2,700.65, 4,045.68 and 2,406.78 is: 3,605.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,700.65 : 4,045.68 = 2,406.78 : x
  2. Step 2: Convert to fraction form
    2,700.65/4,045.68 = 2,406.78/x
  3. Step 3: Cross multiply
    2,700.65x = 4,045.68 × 2,406.78
  4. Step 4: Simplify right side
    2,700.65x = 9,737,061.71
  5. Step 5: Solve for x
    x = 9,737,061.71/2,700.65
  6. Step 6: Final answer
    x = 3,605.45

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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.