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Finding the Fourth Proportional to 2,535.70, 3,498.44 and 1,416.46

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Solution

The fourth proportional to 2,535.70, 3,498.44 and 1,416.46 is: 1,954.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,535.70 : 3,498.44 = 1,416.46 : x
  2. Step 2: Convert to fraction form
    2,535.70/3,498.44 = 1,416.46/x
  3. Step 3: Cross multiply
    2,535.70x = 3,498.44 × 1,416.46
  4. Step 4: Simplify right side
    2,535.70x = 4,955,400.32
  5. Step 5: Solve for x
    x = 4,955,400.32/2,535.70
  6. Step 6: Final answer
    x = 1,954.25

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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.