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Finding the Fourth Proportional to 2,883.02, 4,326.08 and 2,831.51

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Solution

The fourth proportional to 2,883.02, 4,326.08 and 2,831.51 is: 4,248.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,883.02 : 4,326.08 = 2,831.51 : x
  2. Step 2: Convert to fraction form
    2,883.02/4,326.08 = 2,831.51/x
  3. Step 3: Cross multiply
    2,883.02x = 4,326.08 × 2,831.51
  4. Step 4: Simplify right side
    2,883.02x = 12,249,335.44
  5. Step 5: Solve for x
    x = 12,249,335.44/2,883.02
  6. Step 6: Final answer
    x = 4,248.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.