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Finding the Fourth Proportional to 1,585.85, 2,378.67 and 649.18

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Solution

The fourth proportional to 1,585.85, 2,378.67 and 649.18 is: 973.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.85 : 2,378.67 = 649.18 : x
  2. Step 2: Convert to fraction form
    1,585.85/2,378.67 = 649.18/x
  3. Step 3: Cross multiply
    1,585.85x = 2,378.67 × 649.18
  4. Step 4: Simplify right side
    1,585.85x = 1,544,185.53
  5. Step 5: Solve for x
    x = 1,544,185.53/1,585.85
  6. Step 6: Final answer
    x = 973.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.