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Finding the Fourth Proportional to 1,510.86, 2,084.40 and 921.30

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Solution

The fourth proportional to 1,510.86, 2,084.40 and 921.30 is: 1,271.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510.86 : 2,084.40 = 921.30 : x
  2. Step 2: Convert to fraction form
    1,510.86/2,084.40 = 921.30/x
  3. Step 3: Cross multiply
    1,510.86x = 2,084.40 × 921.30
  4. Step 4: Simplify right side
    1,510.86x = 1,920,357.72
  5. Step 5: Solve for x
    x = 1,920,357.72/1,510.86
  6. Step 6: Final answer
    x = 1,271.04

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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.