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Finding the Fourth Proportional to 2,677.04, 4,009.04 and 1,853

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Solution

The fourth proportional to 2,677.04, 4,009.04 and 1,853 is: 2,774.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,677.04 : 4,009.04 = 1,853 : x
  2. Step 2: Convert to fraction form
    2,677.04/4,009.04 = 1,853/x
  3. Step 3: Cross multiply
    2,677.04x = 4,009.04 × 1,853
  4. Step 4: Simplify right side
    2,677.04x = 7,428,751.12
  5. Step 5: Solve for x
    x = 7,428,751.12/2,677.04
  6. Step 6: Final answer
    x = 2,774.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.