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Finding the Fourth Proportional to 1,357.81, 1,874.33 and 916.99

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Solution

The fourth proportional to 1,357.81, 1,874.33 and 916.99 is: 1,265.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357.81 : 1,874.33 = 916.99 : x
  2. Step 2: Convert to fraction form
    1,357.81/1,874.33 = 916.99/x
  3. Step 3: Cross multiply
    1,357.81x = 1,874.33 × 916.99
  4. Step 4: Simplify right side
    1,357.81x = 1,718,741.87
  5. Step 5: Solve for x
    x = 1,718,741.87/1,357.81
  6. Step 6: Final answer
    x = 1,265.82

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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.