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Finding the Fourth Proportional to 4,409.61, 6,614.19 and 1,122.50

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Solution

The fourth proportional to 4,409.61, 6,614.19 and 1,122.50 is: 1,683.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,409.61 : 6,614.19 = 1,122.50 : x
  2. Step 2: Convert to fraction form
    4,409.61/6,614.19 = 1,122.50/x
  3. Step 3: Cross multiply
    4,409.61x = 6,614.19 × 1,122.50
  4. Step 4: Simplify right side
    4,409.61x = 7,424,440.60
  5. Step 5: Solve for x
    x = 7,424,440.60/4,409.61
  6. Step 6: Final answer
    x = 1,683.70

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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.