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Finding the Fourth Proportional to 2,605.32, 3,590.10 and 1,857.15

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Solution

The fourth proportional to 2,605.32, 3,590.10 and 1,857.15 is: 2,559.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.32 : 3,590.10 = 1,857.15 : x
  2. Step 2: Convert to fraction form
    2,605.32/3,590.10 = 1,857.15/x
  3. Step 3: Cross multiply
    2,605.32x = 3,590.10 × 1,857.15
  4. Step 4: Simplify right side
    2,605.32x = 6,667,354.22
  5. Step 5: Solve for x
    x = 6,667,354.22/2,605.32
  6. Step 6: Final answer
    x = 2,559.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.