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Finding the Fourth Proportional to 1,402.46, 2,103.72 and 916.46

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Solution

The fourth proportional to 1,402.46, 2,103.72 and 916.46 is: 1,374.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.46 : 2,103.72 = 916.46 : x
  2. Step 2: Convert to fraction form
    1,402.46/2,103.72 = 916.46/x
  3. Step 3: Cross multiply
    1,402.46x = 2,103.72 × 916.46
  4. Step 4: Simplify right side
    1,402.46x = 1,927,975.23
  5. Step 5: Solve for x
    x = 1,927,975.23/1,402.46
  6. Step 6: Final answer
    x = 1,374.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.