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Finding the Fourth Proportional to 1,775.28, 2,449.86 and 989.46

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Solution

The fourth proportional to 1,775.28, 2,449.86 and 989.46 is: 1,365.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,775.28 : 2,449.86 = 989.46 : x
  2. Step 2: Convert to fraction form
    1,775.28/2,449.86 = 989.46/x
  3. Step 3: Cross multiply
    1,775.28x = 2,449.86 × 989.46
  4. Step 4: Simplify right side
    1,775.28x = 2,424,038.48
  5. Step 5: Solve for x
    x = 2,424,038.48/1,775.28
  6. Step 6: Final answer
    x = 1,365.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.