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Finding the Fourth Proportional to 1,436.22, 2,152.89 and 916.02

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Solution

The fourth proportional to 1,436.22, 2,152.89 and 916.02 is: 1,373.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,436.22 : 2,152.89 = 916.02 : x
  2. Step 2: Convert to fraction form
    1,436.22/2,152.89 = 916.02/x
  3. Step 3: Cross multiply
    1,436.22x = 2,152.89 × 916.02
  4. Step 4: Simplify right side
    1,436.22x = 1,972,090.30
  5. Step 5: Solve for x
    x = 1,972,090.30/1,436.22
  6. Step 6: Final answer
    x = 1,373.11

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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.