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Finding the Fourth Proportional to 2,524.59, 3,483.96 and 1,462.40

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Solution

The fourth proportional to 2,524.59, 3,483.96 and 1,462.40 is: 2,018.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,524.59 : 3,483.96 = 1,462.40 : x
  2. Step 2: Convert to fraction form
    2,524.59/3,483.96 = 1,462.40/x
  3. Step 3: Cross multiply
    2,524.59x = 3,483.96 × 1,462.40
  4. Step 4: Simplify right side
    2,524.59x = 5,094,931.57
  5. Step 5: Solve for x
    x = 5,094,931.57/2,524.59
  6. Step 6: Final answer
    x = 2,018.13

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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.