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Finding the Fourth Proportional to 1,454.72, 2,006.16 and 930.08

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Solution

The fourth proportional to 1,454.72, 2,006.16 and 930.08 is: 1,282.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454.72 : 2,006.16 = 930.08 : x
  2. Step 2: Convert to fraction form
    1,454.72/2,006.16 = 930.08/x
  3. Step 3: Cross multiply
    1,454.72x = 2,006.16 × 930.08
  4. Step 4: Simplify right side
    1,454.72x = 1,865,889.29
  5. Step 5: Solve for x
    x = 1,865,889.29/1,454.72
  6. Step 6: Final answer
    x = 1,282.64

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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.