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Finding the Fourth Proportional to 2,421.74, 3,632.95 and 862.13

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Solution

The fourth proportional to 2,421.74, 3,632.95 and 862.13 is: 1,293.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,421.74 : 3,632.95 = 862.13 : x
  2. Step 2: Convert to fraction form
    2,421.74/3,632.95 = 862.13/x
  3. Step 3: Cross multiply
    2,421.74x = 3,632.95 × 862.13
  4. Step 4: Simplify right side
    2,421.74x = 3,132,075.18
  5. Step 5: Solve for x
    x = 3,132,075.18/2,421.74
  6. Step 6: Final answer
    x = 1,293.32

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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.