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Finding the Fourth Proportional to 2,690.49, 3,712.25 and 1,556.15

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Solution

The fourth proportional to 2,690.49, 3,712.25 and 1,556.15 is: 2,147.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,690.49 : 3,712.25 = 1,556.15 : x
  2. Step 2: Convert to fraction form
    2,690.49/3,712.25 = 1,556.15/x
  3. Step 3: Cross multiply
    2,690.49x = 3,712.25 × 1,556.15
  4. Step 4: Simplify right side
    2,690.49x = 5,776,831.01
  5. Step 5: Solve for x
    x = 5,776,831.01/2,690.49
  6. Step 6: Final answer
    x = 2,147.13

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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.