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Finding the Fourth Proportional to 2,437.77, 3,656.66 and 1,470.63

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Solution

The fourth proportional to 2,437.77, 3,656.66 and 1,470.63 is: 2,205.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,437.77 : 3,656.66 = 1,470.63 : x
  2. Step 2: Convert to fraction form
    2,437.77/3,656.66 = 1,470.63/x
  3. Step 3: Cross multiply
    2,437.77x = 3,656.66 × 1,470.63
  4. Step 4: Simplify right side
    2,437.77x = 5,377,586.54
  5. Step 5: Solve for x
    x = 5,377,586.54/2,437.77
  6. Step 6: Final answer
    x = 2,205.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.