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Finding the Fourth Proportional to 2,374.95, 3,559.34 and 1,753.70

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Solution

The fourth proportional to 2,374.95, 3,559.34 and 1,753.70 is: 2,628.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,374.95 : 3,559.34 = 1,753.70 : x
  2. Step 2: Convert to fraction form
    2,374.95/3,559.34 = 1,753.70/x
  3. Step 3: Cross multiply
    2,374.95x = 3,559.34 × 1,753.70
  4. Step 4: Simplify right side
    2,374.95x = 6,242,021.17
  5. Step 5: Solve for x
    x = 6,242,021.17/2,374.95
  6. Step 6: Final answer
    x = 2,628.28

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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.