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Finding the Fourth Proportional to 2,971.49, 4,458.75 and 1,510.63

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Solution

The fourth proportional to 2,971.49, 4,458.75 and 1,510.63 is: 2,266.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.49 : 4,458.75 = 1,510.63 : x
  2. Step 2: Convert to fraction form
    2,971.49/4,458.75 = 1,510.63/x
  3. Step 3: Cross multiply
    2,971.49x = 4,458.75 × 1,510.63
  4. Step 4: Simplify right side
    2,971.49x = 6,735,529.78
  5. Step 5: Solve for x
    x = 6,735,529.78/2,971.49
  6. Step 6: Final answer
    x = 2,266.72

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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.