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Finding the Fourth Proportional to 1,506.42, 2,078.49 and 916.92

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Solution

The fourth proportional to 1,506.42, 2,078.49 and 916.92 is: 1,265.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506.42 : 2,078.49 = 916.92 : x
  2. Step 2: Convert to fraction form
    1,506.42/2,078.49 = 916.92/x
  3. Step 3: Cross multiply
    1,506.42x = 2,078.49 × 916.92
  4. Step 4: Simplify right side
    1,506.42x = 1,905,809.05
  5. Step 5: Solve for x
    x = 1,905,809.05/1,506.42
  6. Step 6: Final answer
    x = 1,265.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.