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Finding the Fourth Proportional to 3,301.56, 4,952.30 and 802.76

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Solution

The fourth proportional to 3,301.56, 4,952.30 and 802.76 is: 1,204.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,301.56 : 4,952.30 = 802.76 : x
  2. Step 2: Convert to fraction form
    3,301.56/4,952.30 = 802.76/x
  3. Step 3: Cross multiply
    3,301.56x = 4,952.30 × 802.76
  4. Step 4: Simplify right side
    3,301.56x = 3,975,529.26
  5. Step 5: Solve for x
    x = 3,975,529.26/3,301.56
  6. Step 6: Final answer
    x = 1,204.14

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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.