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Finding the Fourth Proportional to 2,709.90, 3,740.00 and 1,530.95

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Solution

The fourth proportional to 2,709.90, 3,740.00 and 1,530.95 is: 2,112.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.90 : 3,740.00 = 1,530.95 : x
  2. Step 2: Convert to fraction form
    2,709.90/3,740.00 = 1,530.95/x
  3. Step 3: Cross multiply
    2,709.90x = 3,740.00 × 1,530.95
  4. Step 4: Simplify right side
    2,709.90x = 5,725,726.65
  5. Step 5: Solve for x
    x = 5,725,726.65/2,709.90
  6. Step 6: Final answer
    x = 2,112.89

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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.