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Finding the Fourth Proportional to 2,695.59, 3,721.76 and 2,065

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Solution

The fourth proportional to 2,695.59, 3,721.76 and 2,065 is: 2,851.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,695.59 : 3,721.76 = 2,065 : x
  2. Step 2: Convert to fraction form
    2,695.59/3,721.76 = 2,065/x
  3. Step 3: Cross multiply
    2,695.59x = 3,721.76 × 2,065
  4. Step 4: Simplify right side
    2,695.59x = 7,685,434.40
  5. Step 5: Solve for x
    x = 7,685,434.40/2,695.59
  6. Step 6: Final answer
    x = 2,851.11

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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.