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Finding the Fourth Proportional to 1,381.91, 1,907.54 and 916.31

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Solution

The fourth proportional to 1,381.91, 1,907.54 and 916.31 is: 1,264.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381.91 : 1,907.54 = 916.31 : x
  2. Step 2: Convert to fraction form
    1,381.91/1,907.54 = 916.31/x
  3. Step 3: Cross multiply
    1,381.91x = 1,907.54 × 916.31
  4. Step 4: Simplify right side
    1,381.91x = 1,747,897.98
  5. Step 5: Solve for x
    x = 1,747,897.98/1,381.91
  6. Step 6: Final answer
    x = 1,264.84

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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.