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Finding the Fourth Proportional to 2,009.25, 2,996.51 and 1,870.74

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Solution

The fourth proportional to 2,009.25, 2,996.51 and 1,870.74 is: 2,789.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.25 : 2,996.51 = 1,870.74 : x
  2. Step 2: Convert to fraction form
    2,009.25/2,996.51 = 1,870.74/x
  3. Step 3: Cross multiply
    2,009.25x = 2,996.51 × 1,870.74
  4. Step 4: Simplify right side
    2,009.25x = 5,605,681.76
  5. Step 5: Solve for x
    x = 5,605,681.76/2,009.25
  6. Step 6: Final answer
    x = 2,789.94

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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.