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Finding the Fourth Proportional to 1,585.34, 2,378.37 and 611.72

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Solution

The fourth proportional to 1,585.34, 2,378.37 and 611.72 is: 917.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.34 : 2,378.37 = 611.72 : x
  2. Step 2: Convert to fraction form
    1,585.34/2,378.37 = 611.72/x
  3. Step 3: Cross multiply
    1,585.34x = 2,378.37 × 611.72
  4. Step 4: Simplify right side
    1,585.34x = 1,454,896.50
  5. Step 5: Solve for x
    x = 1,454,896.50/1,585.34
  6. Step 6: Final answer
    x = 917.72

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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.