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Finding the Fourth Proportional to 2,405.15, 3,607.95 and 761.75

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Solution

The fourth proportional to 2,405.15, 3,607.95 and 761.75 is: 1,142.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,405.15 : 3,607.95 = 761.75 : x
  2. Step 2: Convert to fraction form
    2,405.15/3,607.95 = 761.75/x
  3. Step 3: Cross multiply
    2,405.15x = 3,607.95 × 761.75
  4. Step 4: Simplify right side
    2,405.15x = 2,748,355.91
  5. Step 5: Solve for x
    x = 2,748,355.91/2,405.15
  6. Step 6: Final answer
    x = 1,142.70

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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.