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Finding the Fourth Proportional to 2,307.52, 3,182.16 and 2,137.84

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Solution

The fourth proportional to 2,307.52, 3,182.16 and 2,137.84 is: 2,948.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,307.52 : 3,182.16 = 2,137.84 : x
  2. Step 2: Convert to fraction form
    2,307.52/3,182.16 = 2,137.84/x
  3. Step 3: Cross multiply
    2,307.52x = 3,182.16 × 2,137.84
  4. Step 4: Simplify right side
    2,307.52x = 6,802,948.93
  5. Step 5: Solve for x
    x = 6,802,948.93/2,307.52
  6. Step 6: Final answer
    x = 2,948.16

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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.