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Finding the Fourth Proportional to 1,466.65, 2,024.13 and 869.50

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Solution

The fourth proportional to 1,466.65, 2,024.13 and 869.50 is: 1,200.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,466.65 : 2,024.13 = 869.50 : x
  2. Step 2: Convert to fraction form
    1,466.65/2,024.13 = 869.50/x
  3. Step 3: Cross multiply
    1,466.65x = 2,024.13 × 869.50
  4. Step 4: Simplify right side
    1,466.65x = 1,759,981.04
  5. Step 5: Solve for x
    x = 1,759,981.04/1,466.65
  6. Step 6: Final answer
    x = 1,200.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.