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Finding the Fourth Proportional to 2,551.95, 3,521.48 and 1,432.80

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Solution

The fourth proportional to 2,551.95, 3,521.48 and 1,432.80 is: 1,977.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,551.95 : 3,521.48 = 1,432.80 : x
  2. Step 2: Convert to fraction form
    2,551.95/3,521.48 = 1,432.80/x
  3. Step 3: Cross multiply
    2,551.95x = 3,521.48 × 1,432.80
  4. Step 4: Simplify right side
    2,551.95x = 5,045,569.38
  5. Step 5: Solve for x
    x = 5,045,569.38/2,551.95
  6. Step 6: Final answer
    x = 1,977.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.