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Finding the Fourth Proportional to 2,776.32, 3,831.23 and 1,597.58

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Solution

The fourth proportional to 2,776.32, 3,831.23 and 1,597.58 is: 2,204.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,776.32 : 3,831.23 = 1,597.58 : x
  2. Step 2: Convert to fraction form
    2,776.32/3,831.23 = 1,597.58/x
  3. Step 3: Cross multiply
    2,776.32x = 3,831.23 × 1,597.58
  4. Step 4: Simplify right side
    2,776.32x = 6,120,669.28
  5. Step 5: Solve for x
    x = 6,120,669.28/2,776.32
  6. Step 6: Final answer
    x = 2,204.60

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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.