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Finding the Fourth Proportional to 1,916.34, 2,646.53 and 1,650.26

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Solution

The fourth proportional to 1,916.34, 2,646.53 and 1,650.26 is: 2,279.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,916.34 : 2,646.53 = 1,650.26 : x
  2. Step 2: Convert to fraction form
    1,916.34/2,646.53 = 1,650.26/x
  3. Step 3: Cross multiply
    1,916.34x = 2,646.53 × 1,650.26
  4. Step 4: Simplify right side
    1,916.34x = 4,367,441.11
  5. Step 5: Solve for x
    x = 4,367,441.11/1,916.34
  6. Step 6: Final answer
    x = 2,279.05

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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.