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Finding the Fourth Proportional to 1,245.91, 1,866.43 and 916.24

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Solution

The fourth proportional to 1,245.91, 1,866.43 and 916.24 is: 1,372.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,245.91 : 1,866.43 = 916.24 : x
  2. Step 2: Convert to fraction form
    1,245.91/1,866.43 = 916.24/x
  3. Step 3: Cross multiply
    1,245.91x = 1,866.43 × 916.24
  4. Step 4: Simplify right side
    1,245.91x = 1,710,097.82
  5. Step 5: Solve for x
    x = 1,710,097.82/1,245.91
  6. Step 6: Final answer
    x = 1,372.57

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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.