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Finding the Fourth Proportional to 2,878.85, 4,319.08 and 931.20

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Solution

The fourth proportional to 2,878.85, 4,319.08 and 931.20 is: 1,397.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,878.85 : 4,319.08 = 931.20 : x
  2. Step 2: Convert to fraction form
    2,878.85/4,319.08 = 931.20/x
  3. Step 3: Cross multiply
    2,878.85x = 4,319.08 × 931.20
  4. Step 4: Simplify right side
    2,878.85x = 4,021,927.30
  5. Step 5: Solve for x
    x = 4,021,927.30/2,878.85
  6. Step 6: Final answer
    x = 1,397.06

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1.5x scale

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.