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Finding the Fourth Proportional to 2,374.65, 3,277.65 and 1,366.47

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Solution

The fourth proportional to 2,374.65, 3,277.65 and 1,366.47 is: 1,886.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,374.65 : 3,277.65 = 1,366.47 : x
  2. Step 2: Convert to fraction form
    2,374.65/3,277.65 = 1,366.47/x
  3. Step 3: Cross multiply
    2,374.65x = 3,277.65 × 1,366.47
  4. Step 4: Simplify right side
    2,374.65x = 4,478,798.61
  5. Step 5: Solve for x
    x = 4,478,798.61/2,374.65
  6. Step 6: Final answer
    x = 1,886.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.