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Finding the Fourth Proportional to 3,120.51, 4,678.28 and 1,802.76

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Solution

The fourth proportional to 3,120.51, 4,678.28 and 1,802.76 is: 2,702.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,120.51 : 4,678.28 = 1,802.76 : x
  2. Step 2: Convert to fraction form
    3,120.51/4,678.28 = 1,802.76/x
  3. Step 3: Cross multiply
    3,120.51x = 4,678.28 × 1,802.76
  4. Step 4: Simplify right side
    3,120.51x = 8,433,807.04
  5. Step 5: Solve for x
    x = 8,433,807.04/3,120.51
  6. Step 6: Final answer
    x = 2,702.70

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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.