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Finding the Fourth Proportional to 2,174.23, 3,259 and 875.35

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Solution

The fourth proportional to 2,174.23, 3,259 and 875.35 is: 1,312.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.23 : 3,259 = 875.35 : x
  2. Step 2: Convert to fraction form
    2,174.23/3,259 = 875.35/x
  3. Step 3: Cross multiply
    2,174.23x = 3,259 × 875.35
  4. Step 4: Simplify right side
    2,174.23x = 2,852,765.65
  5. Step 5: Solve for x
    x = 2,852,765.65/2,174.23
  6. Step 6: Final answer
    x = 1,312.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.