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Finding the Fourth Proportional to 1,930.95, 2,663.06 and 1,510.65

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Solution

The fourth proportional to 1,930.95, 2,663.06 and 1,510.65 is: 2,083.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,930.95 : 2,663.06 = 1,510.65 : x
  2. Step 2: Convert to fraction form
    1,930.95/2,663.06 = 1,510.65/x
  3. Step 3: Cross multiply
    1,930.95x = 2,663.06 × 1,510.65
  4. Step 4: Simplify right side
    1,930.95x = 4,022,944.04
  5. Step 5: Solve for x
    x = 4,022,944.04/1,930.95
  6. Step 6: Final answer
    x = 2,083.40

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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.