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Finding the Fourth Proportional to 1,580.32, 2,370.84 and 540.52

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Solution

The fourth proportional to 1,580.32, 2,370.84 and 540.52 is: 810.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.32 : 2,370.84 = 540.52 : x
  2. Step 2: Convert to fraction form
    1,580.32/2,370.84 = 540.52/x
  3. Step 3: Cross multiply
    1,580.32x = 2,370.84 × 540.52
  4. Step 4: Simplify right side
    1,580.32x = 1,281,486.44
  5. Step 5: Solve for x
    x = 1,281,486.44/1,580.32
  6. Step 6: Final answer
    x = 810.90

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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.