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Finding the Fourth Proportional to 2,437.64, 3,360.12 and 2,142.40

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Solution

The fourth proportional to 2,437.64, 3,360.12 and 2,142.40 is: 2,953.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,437.64 : 3,360.12 = 2,142.40 : x
  2. Step 2: Convert to fraction form
    2,437.64/3,360.12 = 2,142.40/x
  3. Step 3: Cross multiply
    2,437.64x = 3,360.12 × 2,142.40
  4. Step 4: Simplify right side
    2,437.64x = 7,198,721.09
  5. Step 5: Solve for x
    x = 7,198,721.09/2,437.64
  6. Step 6: Final answer
    x = 2,953.15

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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.