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Finding the Fourth Proportional to 1,510.14, 2,084.22 and 880.77

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Solution

The fourth proportional to 1,510.14, 2,084.22 and 880.77 is: 1,215.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510.14 : 2,084.22 = 880.77 : x
  2. Step 2: Convert to fraction form
    1,510.14/2,084.22 = 880.77/x
  3. Step 3: Cross multiply
    1,510.14x = 2,084.22 × 880.77
  4. Step 4: Simplify right side
    1,510.14x = 1,835,718.45
  5. Step 5: Solve for x
    x = 1,835,718.45/1,510.14
  6. Step 6: Final answer
    x = 1,215.59

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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.