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Finding the Fourth Proportional to 2,393.42, 3,595.76 and 1,408.76

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Solution

The fourth proportional to 2,393.42, 3,595.76 and 1,408.76 is: 2,116.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,393.42 : 3,595.76 = 1,408.76 : x
  2. Step 2: Convert to fraction form
    2,393.42/3,595.76 = 1,408.76/x
  3. Step 3: Cross multiply
    2,393.42x = 3,595.76 × 1,408.76
  4. Step 4: Simplify right side
    2,393.42x = 5,065,562.86
  5. Step 5: Solve for x
    x = 5,065,562.86/2,393.42
  6. Step 6: Final answer
    x = 2,116.45

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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.