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Finding the Fourth Proportional to 2,535.74, 3,500.93 and 1,740.40

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Solution

The fourth proportional to 2,535.74, 3,500.93 and 1,740.40 is: 2,402.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,535.74 : 3,500.93 = 1,740.40 : x
  2. Step 2: Convert to fraction form
    2,535.74/3,500.93 = 1,740.40/x
  3. Step 3: Cross multiply
    2,535.74x = 3,500.93 × 1,740.40
  4. Step 4: Simplify right side
    2,535.74x = 6,093,018.57
  5. Step 5: Solve for x
    x = 6,093,018.57/2,535.74
  6. Step 6: Final answer
    x = 2,402.86

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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.