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Finding the Fourth Proportional to 1,510.69, 2,084.86 and 921.15

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Solution

The fourth proportional to 1,510.69, 2,084.86 and 921.15 is: 1,271.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510.69 : 2,084.86 = 921.15 : x
  2. Step 2: Convert to fraction form
    1,510.69/2,084.86 = 921.15/x
  3. Step 3: Cross multiply
    1,510.69x = 2,084.86 × 921.15
  4. Step 4: Simplify right side
    1,510.69x = 1,920,468.79
  5. Step 5: Solve for x
    x = 1,920,468.79/1,510.69
  6. Step 6: Final answer
    x = 1,271.25

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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.