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Finding the Fourth Proportional to 2,378.61, 3,275.02 and 2,159.91

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Solution

The fourth proportional to 2,378.61, 3,275.02 and 2,159.91 is: 2,973.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378.61 : 3,275.02 = 2,159.91 : x
  2. Step 2: Convert to fraction form
    2,378.61/3,275.02 = 2,159.91/x
  3. Step 3: Cross multiply
    2,378.61x = 3,275.02 × 2,159.91
  4. Step 4: Simplify right side
    2,378.61x = 7,073,748.45
  5. Step 5: Solve for x
    x = 7,073,748.45/2,378.61
  6. Step 6: Final answer
    x = 2,973.90

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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.