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Finding the Fourth Proportional to 1,609.84, 2,222.56 and 1,510.56

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Solution

The fourth proportional to 1,609.84, 2,222.56 and 1,510.56 is: 2,085.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,609.84 : 2,222.56 = 1,510.56 : x
  2. Step 2: Convert to fraction form
    1,609.84/2,222.56 = 1,510.56/x
  3. Step 3: Cross multiply
    1,609.84x = 2,222.56 × 1,510.56
  4. Step 4: Simplify right side
    1,609.84x = 3,357,310.23
  5. Step 5: Solve for x
    x = 3,357,310.23/1,609.84
  6. Step 6: Final answer
    x = 2,085.49

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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.