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Finding the Fourth Proportional to 2,900.38, 4,342.47 and 1,510.69

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Solution

The fourth proportional to 2,900.38, 4,342.47 and 1,510.69 is: 2,261.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,900.38 : 4,342.47 = 1,510.69 : x
  2. Step 2: Convert to fraction form
    2,900.38/4,342.47 = 1,510.69/x
  3. Step 3: Cross multiply
    2,900.38x = 4,342.47 × 1,510.69
  4. Step 4: Simplify right side
    2,900.38x = 6,560,126.00
  5. Step 5: Solve for x
    x = 6,560,126.00/2,900.38
  6. Step 6: Final answer
    x = 2,261.82

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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.