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Finding the Fourth Proportional to 2,642.55, 3,646.47 and 2,361.87

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Solution

The fourth proportional to 2,642.55, 3,646.47 and 2,361.87 is: 3,259.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.55 : 3,646.47 = 2,361.87 : x
  2. Step 2: Convert to fraction form
    2,642.55/3,646.47 = 2,361.87/x
  3. Step 3: Cross multiply
    2,642.55x = 3,646.47 × 2,361.87
  4. Step 4: Simplify right side
    2,642.55x = 8,612,488.10
  5. Step 5: Solve for x
    x = 8,612,488.10/2,642.55
  6. Step 6: Final answer
    x = 3,259.16

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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.