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Finding the Fourth Proportional to 2,698.51, 4,042.57 and 1,655.46

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Solution

The fourth proportional to 2,698.51, 4,042.57 and 1,655.46 is: 2,480.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698.51 : 4,042.57 = 1,655.46 : x
  2. Step 2: Convert to fraction form
    2,698.51/4,042.57 = 1,655.46/x
  3. Step 3: Cross multiply
    2,698.51x = 4,042.57 × 1,655.46
  4. Step 4: Simplify right side
    2,698.51x = 6,692,318.61
  5. Step 5: Solve for x
    x = 6,692,318.61/2,698.51
  6. Step 6: Final answer
    x = 2,480.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.