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Finding the Fourth Proportional to 1,531.01, 2,114.00 and 1,084.68

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Solution

The fourth proportional to 1,531.01, 2,114.00 and 1,084.68 is: 1,497.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.01 : 2,114.00 = 1,084.68 : x
  2. Step 2: Convert to fraction form
    1,531.01/2,114.00 = 1,084.68/x
  3. Step 3: Cross multiply
    1,531.01x = 2,114.00 × 1,084.68
  4. Step 4: Simplify right side
    1,531.01x = 2,293,012.58
  5. Step 5: Solve for x
    x = 2,293,012.58/1,531.01
  6. Step 6: Final answer
    x = 1,497.72

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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.