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Finding the Fourth Proportional to 2,705.61, 4,038.85 and 2,377.56

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Solution

The fourth proportional to 2,705.61, 4,038.85 and 2,377.56 is: 3,549.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705.61 : 4,038.85 = 2,377.56 : x
  2. Step 2: Convert to fraction form
    2,705.61/4,038.85 = 2,377.56/x
  3. Step 3: Cross multiply
    2,705.61x = 4,038.85 × 2,377.56
  4. Step 4: Simplify right side
    2,705.61x = 9,602,608.21
  5. Step 5: Solve for x
    x = 9,602,608.21/2,705.61
  6. Step 6: Final answer
    x = 3,549.15

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.