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Finding the Fourth Proportional to 2,510.19, 3,759.01 and 1,582.94

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Solution

The fourth proportional to 2,510.19, 3,759.01 and 1,582.94 is: 2,370.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,510.19 : 3,759.01 = 1,582.94 : x
  2. Step 2: Convert to fraction form
    2,510.19/3,759.01 = 1,582.94/x
  3. Step 3: Cross multiply
    2,510.19x = 3,759.01 × 1,582.94
  4. Step 4: Simplify right side
    2,510.19x = 5,950,292.73
  5. Step 5: Solve for x
    x = 5,950,292.73/2,510.19
  6. Step 6: Final answer
    x = 2,370.46

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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.