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Finding the Fourth Proportional to 2,051.64, 2,831.22 and 1,254.69

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Solution

The fourth proportional to 2,051.64, 2,831.22 and 1,254.69 is: 1,731.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051.64 : 2,831.22 = 1,254.69 : x
  2. Step 2: Convert to fraction form
    2,051.64/2,831.22 = 1,254.69/x
  3. Step 3: Cross multiply
    2,051.64x = 2,831.22 × 1,254.69
  4. Step 4: Simplify right side
    2,051.64x = 3,552,303.42
  5. Step 5: Solve for x
    x = 3,552,303.42/2,051.64
  6. Step 6: Final answer
    x = 1,731.45

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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.