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Finding the Fourth Proportional to 1,510.82, 2,265.74 and 1,412.40

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Solution

The fourth proportional to 1,510.82, 2,265.74 and 1,412.40 is: 2,118.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510.82 : 2,265.74 = 1,412.40 : x
  2. Step 2: Convert to fraction form
    1,510.82/2,265.74 = 1,412.40/x
  3. Step 3: Cross multiply
    1,510.82x = 2,265.74 × 1,412.40
  4. Step 4: Simplify right side
    1,510.82x = 3,200,137.91
  5. Step 5: Solve for x
    x = 3,200,137.91/1,510.82
  6. Step 6: Final answer
    x = 2,118.15

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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.