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Finding the Fourth Proportional to 2,710.95, 3,740.82 and 1,592.15

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Solution

The fourth proportional to 2,710.95, 3,740.82 and 1,592.15 is: 2,196.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,710.95 : 3,740.82 = 1,592.15 : x
  2. Step 2: Convert to fraction form
    2,710.95/3,740.82 = 1,592.15/x
  3. Step 3: Cross multiply
    2,710.95x = 3,740.82 × 1,592.15
  4. Step 4: Simplify right side
    2,710.95x = 5,955,927.86
  5. Step 5: Solve for x
    x = 5,955,927.86/2,710.95
  6. Step 6: Final answer
    x = 2,196.99

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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.