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Finding the Fourth Proportional to 1,602, 2,209.19 and 972.63

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Solution

The fourth proportional to 1,602, 2,209.19 and 972.63 is: 1,341.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602 : 2,209.19 = 972.63 : x
  2. Step 2: Convert to fraction form
    1,602/2,209.19 = 972.63/x
  3. Step 3: Cross multiply
    1,602x = 2,209.19 × 972.63
  4. Step 4: Simplify right side
    1,602x = 2,148,719.61
  5. Step 5: Solve for x
    x = 2,148,719.61/1,602
  6. Step 6: Final answer
    x = 1,341.27

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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.