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Finding the Fourth Proportional to 1,532.84, 2,114.34 and 1,253.48

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Solution

The fourth proportional to 1,532.84, 2,114.34 and 1,253.48 is: 1,729.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532.84 : 2,114.34 = 1,253.48 : x
  2. Step 2: Convert to fraction form
    1,532.84/2,114.34 = 1,253.48/x
  3. Step 3: Cross multiply
    1,532.84x = 2,114.34 × 1,253.48
  4. Step 4: Simplify right side
    1,532.84x = 2,650,282.90
  5. Step 5: Solve for x
    x = 2,650,282.90/1,532.84
  6. Step 6: Final answer
    x = 1,729.00

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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.