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Finding the Fourth Proportional to 1,575.86, 2,364.84 and 549.86

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Solution

The fourth proportional to 1,575.86, 2,364.84 and 549.86 is: 825.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,575.86 : 2,364.84 = 549.86 : x
  2. Step 2: Convert to fraction form
    1,575.86/2,364.84 = 549.86/x
  3. Step 3: Cross multiply
    1,575.86x = 2,364.84 × 549.86
  4. Step 4: Simplify right side
    1,575.86x = 1,300,319.10
  5. Step 5: Solve for x
    x = 1,300,319.10/1,575.86
  6. Step 6: Final answer
    x = 825.15

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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.