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Finding the Fourth Proportional to 1,504.40, 2,076.70 and 915.12

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Solution

The fourth proportional to 1,504.40, 2,076.70 and 915.12 is: 1,263.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,504.40 : 2,076.70 = 915.12 : x
  2. Step 2: Convert to fraction form
    1,504.40/2,076.70 = 915.12/x
  3. Step 3: Cross multiply
    1,504.40x = 2,076.70 × 915.12
  4. Step 4: Simplify right side
    1,504.40x = 1,900,429.70
  5. Step 5: Solve for x
    x = 1,900,429.70/1,504.40
  6. Step 6: Final answer
    x = 1,263.25

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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.