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Finding the Fourth Proportional to 1,559.02, 2,338.55 and 875.02

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Solution

The fourth proportional to 1,559.02, 2,338.55 and 875.02 is: 1,312.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,559.02 : 2,338.55 = 875.02 : x
  2. Step 2: Convert to fraction form
    1,559.02/2,338.55 = 875.02/x
  3. Step 3: Cross multiply
    1,559.02x = 2,338.55 × 875.02
  4. Step 4: Simplify right side
    1,559.02x = 2,046,278.02
  5. Step 5: Solve for x
    x = 2,046,278.02/1,559.02
  6. Step 6: Final answer
    x = 1,312.54

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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.