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Finding the Fourth Proportional to 1,416.41, 2,124.45 and 867.63

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Solution

The fourth proportional to 1,416.41, 2,124.45 and 867.63 is: 1,301.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.41 : 2,124.45 = 867.63 : x
  2. Step 2: Convert to fraction form
    1,416.41/2,124.45 = 867.63/x
  3. Step 3: Cross multiply
    1,416.41x = 2,124.45 × 867.63
  4. Step 4: Simplify right side
    1,416.41x = 1,843,236.55
  5. Step 5: Solve for x
    x = 1,843,236.55/1,416.41
  6. Step 6: Final answer
    x = 1,301.35

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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.