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Finding the Fourth Proportional to 2,831.68, 3,907.92 and 1,653.04

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Solution

The fourth proportional to 2,831.68, 3,907.92 and 1,653.04 is: 2,281.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,831.68 : 3,907.92 = 1,653.04 : x
  2. Step 2: Convert to fraction form
    2,831.68/3,907.92 = 1,653.04/x
  3. Step 3: Cross multiply
    2,831.68x = 3,907.92 × 1,653.04
  4. Step 4: Simplify right side
    2,831.68x = 6,459,948.08
  5. Step 5: Solve for x
    x = 6,459,948.08/2,831.68
  6. Step 6: Final answer
    x = 2,281.31

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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.