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Finding the Fourth Proportional to 2,374.66, 3,557.10 and 1,909.93

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Solution

The fourth proportional to 2,374.66, 3,557.10 and 1,909.93 is: 2,860.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,374.66 : 3,557.10 = 1,909.93 : x
  2. Step 2: Convert to fraction form
    2,374.66/3,557.10 = 1,909.93/x
  3. Step 3: Cross multiply
    2,374.66x = 3,557.10 × 1,909.93
  4. Step 4: Simplify right side
    2,374.66x = 6,793,812.00
  5. Step 5: Solve for x
    x = 6,793,812.00/2,374.66
  6. Step 6: Final answer
    x = 2,860.96

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Why These Related Problems?

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