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Finding the Fourth Proportional to 2,316.08, 3,474.36 and 584.72

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Solution

The fourth proportional to 2,316.08, 3,474.36 and 584.72 is: 877.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,316.08 : 3,474.36 = 584.72 : x
  2. Step 2: Convert to fraction form
    2,316.08/3,474.36 = 584.72/x
  3. Step 3: Cross multiply
    2,316.08x = 3,474.36 × 584.72
  4. Step 4: Simplify right side
    2,316.08x = 2,031,527.78
  5. Step 5: Solve for x
    x = 2,031,527.78/2,316.08
  6. Step 6: Final answer
    x = 877.14

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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.