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Finding the Fourth Proportional to 2,051.79, 2,831.76 and 1,266

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Solution

The fourth proportional to 2,051.79, 2,831.76 and 1,266 is: 1,747.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051.79 : 2,831.76 = 1,266 : x
  2. Step 2: Convert to fraction form
    2,051.79/2,831.76 = 1,266/x
  3. Step 3: Cross multiply
    2,051.79x = 2,831.76 × 1,266
  4. Step 4: Simplify right side
    2,051.79x = 3,585,008.16
  5. Step 5: Solve for x
    x = 3,585,008.16/2,051.79
  6. Step 6: Final answer
    x = 1,747.26

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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.