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Finding the Fourth Proportional to 1,605.15, 2,405.70 and 874.17

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Solution

The fourth proportional to 1,605.15, 2,405.70 and 874.17 is: 1,310.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.15 : 2,405.70 = 874.17 : x
  2. Step 2: Convert to fraction form
    1,605.15/2,405.70 = 874.17/x
  3. Step 3: Cross multiply
    1,605.15x = 2,405.70 × 874.17
  4. Step 4: Simplify right side
    1,605.15x = 2,102,990.77
  5. Step 5: Solve for x
    x = 2,102,990.77/1,605.15
  6. Step 6: Final answer
    x = 1,310.15

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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.