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Finding the Fourth Proportional to 2,902.65, 4,001.78 and 2,307.12

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Solution

The fourth proportional to 2,902.65, 4,001.78 and 2,307.12 is: 3,180.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902.65 : 4,001.78 = 2,307.12 : x
  2. Step 2: Convert to fraction form
    2,902.65/4,001.78 = 2,307.12/x
  3. Step 3: Cross multiply
    2,902.65x = 4,001.78 × 2,307.12
  4. Step 4: Simplify right side
    2,902.65x = 9,232,575.14
  5. Step 5: Solve for x
    x = 9,232,575.14/2,902.65
  6. Step 6: Final answer
    x = 3,180.74

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