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Finding the Fourth Proportional to 2,315.84, 3,196.14 and 1,531.52

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Solution

The fourth proportional to 2,315.84, 3,196.14 and 1,531.52 is: 2,113.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,315.84 : 3,196.14 = 1,531.52 : x
  2. Step 2: Convert to fraction form
    2,315.84/3,196.14 = 1,531.52/x
  3. Step 3: Cross multiply
    2,315.84x = 3,196.14 × 1,531.52
  4. Step 4: Simplify right side
    2,315.84x = 4,894,952.33
  5. Step 5: Solve for x
    x = 4,894,952.33/2,315.84
  6. Step 6: Final answer
    x = 2,113.68

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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.