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Finding the Fourth Proportional to 1,921.25, 2,881.88 and 688.74

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Solution

The fourth proportional to 1,921.25, 2,881.88 and 688.74 is: 1,033.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,921.25 : 2,881.88 = 688.74 : x
  2. Step 2: Convert to fraction form
    1,921.25/2,881.88 = 688.74/x
  3. Step 3: Cross multiply
    1,921.25x = 2,881.88 × 688.74
  4. Step 4: Simplify right side
    1,921.25x = 1,984,848.18
  5. Step 5: Solve for x
    x = 1,984,848.18/1,921.25
  6. Step 6: Final answer
    x = 1,033.10

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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.