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Finding the Fourth Proportional to 3,071.14, 4,607.51 and 880.04

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Solution

The fourth proportional to 3,071.14, 4,607.51 and 880.04 is: 1,320.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,071.14 : 4,607.51 = 880.04 : x
  2. Step 2: Convert to fraction form
    3,071.14/4,607.51 = 880.04/x
  3. Step 3: Cross multiply
    3,071.14x = 4,607.51 × 880.04
  4. Step 4: Simplify right side
    3,071.14x = 4,054,789.74
  5. Step 5: Solve for x
    x = 4,054,789.74/3,071.14
  6. Step 6: Final answer
    x = 1,320.29

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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.