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Finding the Fourth Proportional to 2,360.64, 3,535.56 and 1,698.48

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Solution

The fourth proportional to 2,360.64, 3,535.56 and 1,698.48 is: 2,543.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,360.64 : 3,535.56 = 1,698.48 : x
  2. Step 2: Convert to fraction form
    2,360.64/3,535.56 = 1,698.48/x
  3. Step 3: Cross multiply
    2,360.64x = 3,535.56 × 1,698.48
  4. Step 4: Simplify right side
    2,360.64x = 6,005,077.95
  5. Step 5: Solve for x
    x = 6,005,077.95/2,360.64
  6. Step 6: Final answer
    x = 2,543.83

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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.