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Finding the Fourth Proportional to 1,530.90, 2,293.40 and 915.10

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Solution

The fourth proportional to 1,530.90, 2,293.40 and 915.10 is: 1,370.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.90 : 2,293.40 = 915.10 : x
  2. Step 2: Convert to fraction form
    1,530.90/2,293.40 = 915.10/x
  3. Step 3: Cross multiply
    1,530.90x = 2,293.40 × 915.10
  4. Step 4: Simplify right side
    1,530.90x = 2,098,690.34
  5. Step 5: Solve for x
    x = 2,098,690.34/1,530.90
  6. Step 6: Final answer
    x = 1,370.89

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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.