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Finding the Fourth Proportional to 4,330.80, 6,495.01 and 1,831.14

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Solution

The fourth proportional to 4,330.80, 6,495.01 and 1,831.14 is: 2,746.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,330.80 : 6,495.01 = 1,831.14 : x
  2. Step 2: Convert to fraction form
    4,330.80/6,495.01 = 1,831.14/x
  3. Step 3: Cross multiply
    4,330.80x = 6,495.01 × 1,831.14
  4. Step 4: Simplify right side
    4,330.80x = 11,893,268.03
  5. Step 5: Solve for x
    x = 11,893,268.03/4,330.80
  6. Step 6: Final answer
    x = 2,746.21

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