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Finding the Fourth Proportional to 2,510.91, 3,465.36 and 1,462.98

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Solution

The fourth proportional to 2,510.91, 3,465.36 and 1,462.98 is: 2,019.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,510.91 : 3,465.36 = 1,462.98 : x
  2. Step 2: Convert to fraction form
    2,510.91/3,465.36 = 1,462.98/x
  3. Step 3: Cross multiply
    2,510.91x = 3,465.36 × 1,462.98
  4. Step 4: Simplify right side
    2,510.91x = 5,069,752.37
  5. Step 5: Solve for x
    x = 5,069,752.37/2,510.91
  6. Step 6: Final answer
    x = 2,019.09

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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.