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Finding the Fourth Proportional to 2,117.30, 3,176.15 and 578.30

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Solution

The fourth proportional to 2,117.30, 3,176.15 and 578.30 is: 867.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,117.30 : 3,176.15 = 578.30 : x
  2. Step 2: Convert to fraction form
    2,117.30/3,176.15 = 578.30/x
  3. Step 3: Cross multiply
    2,117.30x = 3,176.15 × 578.30
  4. Step 4: Simplify right side
    2,117.30x = 1,836,767.55
  5. Step 5: Solve for x
    x = 1,836,767.55/2,117.30
  6. Step 6: Final answer
    x = 867.50

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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.