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Finding the Fourth Proportional to 2,655.75, 3,984.45 and 924.39

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Solution

The fourth proportional to 2,655.75, 3,984.45 and 924.39 is: 1,386.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,655.75 : 3,984.45 = 924.39 : x
  2. Step 2: Convert to fraction form
    2,655.75/3,984.45 = 924.39/x
  3. Step 3: Cross multiply
    2,655.75x = 3,984.45 × 924.39
  4. Step 4: Simplify right side
    2,655.75x = 3,683,185.74
  5. Step 5: Solve for x
    x = 3,683,185.74/2,655.75
  6. Step 6: Final answer
    x = 1,386.87

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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.