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Finding the Fourth Proportional to 2,557.84, 3,528.36 and 1,612.00

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Solution

The fourth proportional to 2,557.84, 3,528.36 and 1,612.00 is: 2,223.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,557.84 : 3,528.36 = 1,612.00 : x
  2. Step 2: Convert to fraction form
    2,557.84/3,528.36 = 1,612.00/x
  3. Step 3: Cross multiply
    2,557.84x = 3,528.36 × 1,612.00
  4. Step 4: Simplify right side
    2,557.84x = 5,687,698.68
  5. Step 5: Solve for x
    x = 5,687,698.68/2,557.84
  6. Step 6: Final answer
    x = 2,223.64

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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.