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Finding the Fourth Proportional to 1,421.54, 2,132.13 and 556.46

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Solution

The fourth proportional to 1,421.54, 2,132.13 and 556.46 is: 834.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421.54 : 2,132.13 = 556.46 : x
  2. Step 2: Convert to fraction form
    1,421.54/2,132.13 = 556.46/x
  3. Step 3: Cross multiply
    1,421.54x = 2,132.13 × 556.46
  4. Step 4: Simplify right side
    1,421.54x = 1,186,445.06
  5. Step 5: Solve for x
    x = 1,186,445.06/1,421.54
  6. Step 6: Final answer
    x = 834.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.