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Finding the Fourth Proportional to 2,437.59, 3,642.98 and 1,780.84

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Solution

The fourth proportional to 2,437.59, 3,642.98 and 1,780.84 is: 2,661.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,437.59 : 3,642.98 = 1,780.84 : x
  2. Step 2: Convert to fraction form
    2,437.59/3,642.98 = 1,780.84/x
  3. Step 3: Cross multiply
    2,437.59x = 3,642.98 × 1,780.84
  4. Step 4: Simplify right side
    2,437.59x = 6,487,539.66
  5. Step 5: Solve for x
    x = 6,487,539.66/2,437.59
  6. Step 6: Final answer
    x = 2,661.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.