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Finding the Fourth Proportional to 1,510.96, 2,257.04 and 1,374.88

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Solution

The fourth proportional to 1,510.96, 2,257.04 and 1,374.88 is: 2,053.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510.96 : 2,257.04 = 1,374.88 : x
  2. Step 2: Convert to fraction form
    1,510.96/2,257.04 = 1,374.88/x
  3. Step 3: Cross multiply
    1,510.96x = 2,257.04 × 1,374.88
  4. Step 4: Simplify right side
    1,510.96x = 3,103,159.16
  5. Step 5: Solve for x
    x = 3,103,159.16/1,510.96
  6. Step 6: Final answer
    x = 2,053.77

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.