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Finding the Fourth Proportional to 1,421.49, 2,132.66 and 859.25

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Solution

The fourth proportional to 1,421.49, 2,132.66 and 859.25 is: 1,289.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421.49 : 2,132.66 = 859.25 : x
  2. Step 2: Convert to fraction form
    1,421.49/2,132.66 = 859.25/x
  3. Step 3: Cross multiply
    1,421.49x = 2,132.66 × 859.25
  4. Step 4: Simplify right side
    1,421.49x = 1,832,495.58
  5. Step 5: Solve for x
    x = 1,832,495.58/1,421.49
  6. Step 6: Final answer
    x = 1,289.13

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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.