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Finding the Fourth Proportional to 1,595.79, 2,377.65 and 1,506.27

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Solution

The fourth proportional to 1,595.79, 2,377.65 and 1,506.27 is: 2,244.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,595.79 : 2,377.65 = 1,506.27 : x
  2. Step 2: Convert to fraction form
    1,595.79/2,377.65 = 1,506.27/x
  3. Step 3: Cross multiply
    1,595.79x = 2,377.65 × 1,506.27
  4. Step 4: Simplify right side
    1,595.79x = 3,581,373.95
  5. Step 5: Solve for x
    x = 3,581,373.95/1,595.79
  6. Step 6: Final answer
    x = 2,244.26

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.