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Finding the Fourth Proportional to 2,531.43, 3,492.50 and 1,535.00

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Solution

The fourth proportional to 2,531.43, 3,492.50 and 1,535.00 is: 2,117.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,531.43 : 3,492.50 = 1,535.00 : x
  2. Step 2: Convert to fraction form
    2,531.43/3,492.50 = 1,535.00/x
  3. Step 3: Cross multiply
    2,531.43x = 3,492.50 × 1,535.00
  4. Step 4: Simplify right side
    2,531.43x = 5,360,962.36
  5. Step 5: Solve for x
    x = 5,360,962.36/2,531.43
  6. Step 6: Final answer
    x = 2,117.76

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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.