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Finding the Fourth Proportional to 2,459.18, 3,688.85 and 815.87

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Solution

The fourth proportional to 2,459.18, 3,688.85 and 815.87 is: 1,223.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,459.18 : 3,688.85 = 815.87 : x
  2. Step 2: Convert to fraction form
    2,459.18/3,688.85 = 815.87/x
  3. Step 3: Cross multiply
    2,459.18x = 3,688.85 × 815.87
  4. Step 4: Simplify right side
    2,459.18x = 3,009,605.64
  5. Step 5: Solve for x
    x = 3,009,605.64/2,459.18
  6. Step 6: Final answer
    x = 1,223.83

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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.