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Finding the Fourth Proportional to 1,916.42, 2,644.74 and 1,130.31

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Solution

The fourth proportional to 1,916.42, 2,644.74 and 1,130.31 is: 1,559.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,916.42 : 2,644.74 = 1,130.31 : x
  2. Step 2: Convert to fraction form
    1,916.42/2,644.74 = 1,130.31/x
  3. Step 3: Cross multiply
    1,916.42x = 2,644.74 × 1,130.31
  4. Step 4: Simplify right side
    1,916.42x = 2,989,376.07
  5. Step 5: Solve for x
    x = 2,989,376.07/1,916.42
  6. Step 6: Final answer
    x = 1,559.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.