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Finding the Fourth Proportional to 2,370.42, 3,557.07 and 909.72

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Solution

The fourth proportional to 2,370.42, 3,557.07 and 909.72 is: 1,365.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,370.42 : 3,557.07 = 909.72 : x
  2. Step 2: Convert to fraction form
    2,370.42/3,557.07 = 909.72/x
  3. Step 3: Cross multiply
    2,370.42x = 3,557.07 × 909.72
  4. Step 4: Simplify right side
    2,370.42x = 3,235,937.72
  5. Step 5: Solve for x
    x = 3,235,937.72/2,370.42
  6. Step 6: Final answer
    x = 1,365.13

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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.