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Finding the Fourth Proportional to 1,838.04, 2,756.76 and 864.24

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Solution

The fourth proportional to 1,838.04, 2,756.76 and 864.24 is: 1,296.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,838.04 : 2,756.76 = 864.24 : x
  2. Step 2: Convert to fraction form
    1,838.04/2,756.76 = 864.24/x
  3. Step 3: Cross multiply
    1,838.04x = 2,756.76 × 864.24
  4. Step 4: Simplify right side
    1,838.04x = 2,382,502.26
  5. Step 5: Solve for x
    x = 2,382,502.26/1,838.04
  6. Step 6: Final answer
    x = 1,296.22

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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.