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Finding the Fourth Proportional to 4,431.66, 6,645.66 and 1,510.20

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Solution

The fourth proportional to 4,431.66, 6,645.66 and 1,510.20 is: 2,264.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,431.66 : 6,645.66 = 1,510.20 : x
  2. Step 2: Convert to fraction form
    4,431.66/6,645.66 = 1,510.20/x
  3. Step 3: Cross multiply
    4,431.66x = 6,645.66 × 1,510.20
  4. Step 4: Simplify right side
    4,431.66x = 10,036,275.73
  5. Step 5: Solve for x
    x = 10,036,275.73/4,431.66
  6. Step 6: Final answer
    x = 2,264.68

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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.