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Finding the Fourth Proportional to 2,715.70, 3,752.04 and 2,054.74

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Solution

The fourth proportional to 2,715.70, 3,752.04 and 2,054.74 is: 2,838.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,715.70 : 3,752.04 = 2,054.74 : x
  2. Step 2: Convert to fraction form
    2,715.70/3,752.04 = 2,054.74/x
  3. Step 3: Cross multiply
    2,715.70x = 3,752.04 × 2,054.74
  4. Step 4: Simplify right side
    2,715.70x = 7,709,466.67
  5. Step 5: Solve for x
    x = 7,709,466.67/2,715.70
  6. Step 6: Final answer
    x = 2,838.85

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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.