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Finding the Fourth Proportional to 2,656.29, 3,667.32 and 1,712.42

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Solution

The fourth proportional to 2,656.29, 3,667.32 and 1,712.42 is: 2,364.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,656.29 : 3,667.32 = 1,712.42 : x
  2. Step 2: Convert to fraction form
    2,656.29/3,667.32 = 1,712.42/x
  3. Step 3: Cross multiply
    2,656.29x = 3,667.32 × 1,712.42
  4. Step 4: Simplify right side
    2,656.29x = 6,279,973.78
  5. Step 5: Solve for x
    x = 6,279,973.78/2,656.29
  6. Step 6: Final answer
    x = 2,364.19

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