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Finding the Fourth Proportional to 1,531.03, 2,296.22 and 435.10

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Solution

The fourth proportional to 1,531.03, 2,296.22 and 435.10 is: 652.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.03 : 2,296.22 = 435.10 : x
  2. Step 2: Convert to fraction form
    1,531.03/2,296.22 = 435.10/x
  3. Step 3: Cross multiply
    1,531.03x = 2,296.22 × 435.10
  4. Step 4: Simplify right side
    1,531.03x = 999,073.84
  5. Step 5: Solve for x
    x = 999,073.84/1,531.03
  6. Step 6: Final answer
    x = 652.55

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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.