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Finding the Fourth Proportional to 3,316.86, 4,972.53 and 1,560.99

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Solution

The fourth proportional to 3,316.86, 4,972.53 and 1,560.99 is: 2,340.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,316.86 : 4,972.53 = 1,560.99 : x
  2. Step 2: Convert to fraction form
    3,316.86/4,972.53 = 1,560.99/x
  3. Step 3: Cross multiply
    3,316.86x = 4,972.53 × 1,560.99
  4. Step 4: Simplify right side
    3,316.86x = 7,762,069.60
  5. Step 5: Solve for x
    x = 7,762,069.60/3,316.86
  6. Step 6: Final answer
    x = 2,340.19

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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.