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Finding the Fourth Proportional to 1,432.88, 2,146.80 and 1,021.40

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Solution

The fourth proportional to 1,432.88, 2,146.80 and 1,021.40 is: 1,530.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.88 : 2,146.80 = 1,021.40 : x
  2. Step 2: Convert to fraction form
    1,432.88/2,146.80 = 1,021.40/x
  3. Step 3: Cross multiply
    1,432.88x = 2,146.80 × 1,021.40
  4. Step 4: Simplify right side
    1,432.88x = 2,192,741.52
  5. Step 5: Solve for x
    x = 2,192,741.52/1,432.88
  6. Step 6: Final answer
    x = 1,530.30

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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.