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Finding the Fourth Proportional to 2,534.04, 3,801.09 and 802.26

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Solution

The fourth proportional to 2,534.04, 3,801.09 and 802.26 is: 1,203.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,534.04 : 3,801.09 = 802.26 : x
  2. Step 2: Convert to fraction form
    2,534.04/3,801.09 = 802.26/x
  3. Step 3: Cross multiply
    2,534.04x = 3,801.09 × 802.26
  4. Step 4: Simplify right side
    2,534.04x = 3,049,462.46
  5. Step 5: Solve for x
    x = 3,049,462.46/2,534.04
  6. Step 6: Final answer
    x = 1,203.40

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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.