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Finding the Fourth Proportional to 1,510.74, 2,081.70 and 1,214.82

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Solution

The fourth proportional to 1,510.74, 2,081.70 and 1,214.82 is: 1,673.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510.74 : 2,081.70 = 1,214.82 : x
  2. Step 2: Convert to fraction form
    1,510.74/2,081.70 = 1,214.82/x
  3. Step 3: Cross multiply
    1,510.74x = 2,081.70 × 1,214.82
  4. Step 4: Simplify right side
    1,510.74x = 2,528,890.79
  5. Step 5: Solve for x
    x = 2,528,890.79/1,510.74
  6. Step 6: Final answer
    x = 1,673.94

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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.