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Finding the Fourth Proportional to 1,535.59, 2,297.88 and 883.12

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Solution

The fourth proportional to 1,535.59, 2,297.88 and 883.12 is: 1,321.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.59 : 2,297.88 = 883.12 : x
  2. Step 2: Convert to fraction form
    1,535.59/2,297.88 = 883.12/x
  3. Step 3: Cross multiply
    1,535.59x = 2,297.88 × 883.12
  4. Step 4: Simplify right side
    1,535.59x = 2,029,303.79
  5. Step 5: Solve for x
    x = 2,029,303.79/1,535.59
  6. Step 6: Final answer
    x = 1,321.51

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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.