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Finding the Fourth Proportional to 2,510.58, 3,464.82 and 1,462.98

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Solution

The fourth proportional to 2,510.58, 3,464.82 and 1,462.98 is: 2,019.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,510.58 : 3,464.82 = 1,462.98 : x
  2. Step 2: Convert to fraction form
    2,510.58/3,464.82 = 1,462.98/x
  3. Step 3: Cross multiply
    2,510.58x = 3,464.82 × 1,462.98
  4. Step 4: Simplify right side
    2,510.58x = 5,068,962.36
  5. Step 5: Solve for x
    x = 5,068,962.36/2,510.58
  6. Step 6: Final answer
    x = 2,019.04

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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.