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Finding the Fourth Proportional to 1,605.12, 2,407.68 and 874.50

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Solution

The fourth proportional to 1,605.12, 2,407.68 and 874.50 is: 1,311.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.12 : 2,407.68 = 874.50 : x
  2. Step 2: Convert to fraction form
    1,605.12/2,407.68 = 874.50/x
  3. Step 3: Cross multiply
    1,605.12x = 2,407.68 × 874.50
  4. Step 4: Simplify right side
    1,605.12x = 2,105,516.16
  5. Step 5: Solve for x
    x = 2,105,516.16/1,605.12
  6. Step 6: Final answer
    x = 1,311.75

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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.