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Finding the Fourth Proportional to 2,802.32, 4,204.02 and 953.76

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Solution

The fourth proportional to 2,802.32, 4,204.02 and 953.76 is: 1,430.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.32 : 4,204.02 = 953.76 : x
  2. Step 2: Convert to fraction form
    2,802.32/4,204.02 = 953.76/x
  3. Step 3: Cross multiply
    2,802.32x = 4,204.02 × 953.76
  4. Step 4: Simplify right side
    2,802.32x = 4,009,626.12
  5. Step 5: Solve for x
    x = 4,009,626.12/2,802.32
  6. Step 6: Final answer
    x = 1,430.82

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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.