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Finding the Fourth Proportional to 2,831.47, 3,907.68 and 1,652.92

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Solution

The fourth proportional to 2,831.47, 3,907.68 and 1,652.92 is: 2,281.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,831.47 : 3,907.68 = 1,652.92 : x
  2. Step 2: Convert to fraction form
    2,831.47/3,907.68 = 1,652.92/x
  3. Step 3: Cross multiply
    2,831.47x = 3,907.68 × 1,652.92
  4. Step 4: Simplify right side
    2,831.47x = 6,459,054.62
  5. Step 5: Solve for x
    x = 6,459,054.62/2,831.47
  6. Step 6: Final answer
    x = 2,281.17

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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.