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Finding the Fourth Proportional to 1,436.19, 2,157.93 and 916.44

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Solution

The fourth proportional to 1,436.19, 2,157.93 and 916.44 is: 1,376.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,436.19 : 2,157.93 = 916.44 : x
  2. Step 2: Convert to fraction form
    1,436.19/2,157.93 = 916.44/x
  3. Step 3: Cross multiply
    1,436.19x = 2,157.93 × 916.44
  4. Step 4: Simplify right side
    1,436.19x = 1,977,613.37
  5. Step 5: Solve for x
    x = 1,977,613.37/1,436.19
  6. Step 6: Final answer
    x = 1,376.99

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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.