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Finding the Fourth Proportional to 2,356.64, 3,254.76 and 1,831.88

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Solution

The fourth proportional to 2,356.64, 3,254.76 and 1,831.88 is: 2,530.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356.64 : 3,254.76 = 1,831.88 : x
  2. Step 2: Convert to fraction form
    2,356.64/3,254.76 = 1,831.88/x
  3. Step 3: Cross multiply
    2,356.64x = 3,254.76 × 1,831.88
  4. Step 4: Simplify right side
    2,356.64x = 5,962,329.75
  5. Step 5: Solve for x
    x = 5,962,329.75/2,356.64
  6. Step 6: Final answer
    x = 2,530.01

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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.