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Finding the Fourth Proportional to 1,535.02, 2,298.75 and 883.78

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Solution

The fourth proportional to 1,535.02, 2,298.75 and 883.78 is: 1,323.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.02 : 2,298.75 = 883.78 : x
  2. Step 2: Convert to fraction form
    1,535.02/2,298.75 = 883.78/x
  3. Step 3: Cross multiply
    1,535.02x = 2,298.75 × 883.78
  4. Step 4: Simplify right side
    1,535.02x = 2,031,589.28
  5. Step 5: Solve for x
    x = 2,031,589.28/1,535.02
  6. Step 6: Final answer
    x = 1,323.49

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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.