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Finding the Fourth Proportional to 2,174.49, 2,999.23 and 1,535.40

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Solution

The fourth proportional to 2,174.49, 2,999.23 and 1,535.40 is: 2,117.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.49 : 2,999.23 = 1,535.40 : x
  2. Step 2: Convert to fraction form
    2,174.49/2,999.23 = 1,535.40/x
  3. Step 3: Cross multiply
    2,174.49x = 2,999.23 × 1,535.40
  4. Step 4: Simplify right side
    2,174.49x = 4,605,017.74
  5. Step 5: Solve for x
    x = 4,605,017.74/2,174.49
  6. Step 6: Final answer
    x = 2,117.75

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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.