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Finding the Fourth Proportional to 1,375.53, 1,897.46 and 815.82

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Solution

The fourth proportional to 1,375.53, 1,897.46 and 815.82 is: 1,125.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,375.53 : 1,897.46 = 815.82 : x
  2. Step 2: Convert to fraction form
    1,375.53/1,897.46 = 815.82/x
  3. Step 3: Cross multiply
    1,375.53x = 1,897.46 × 815.82
  4. Step 4: Simplify right side
    1,375.53x = 1,547,972.25
  5. Step 5: Solve for x
    x = 1,547,972.25/1,375.53
  6. Step 6: Final answer
    x = 1,125.37

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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.