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Finding the Fourth Proportional to 1,973.11, 2,959.60 and 802.77

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Solution

The fourth proportional to 1,973.11, 2,959.60 and 802.77 is: 1,204.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,973.11 : 2,959.60 = 802.77 : x
  2. Step 2: Convert to fraction form
    1,973.11/2,959.60 = 802.77/x
  3. Step 3: Cross multiply
    1,973.11x = 2,959.60 × 802.77
  4. Step 4: Simplify right side
    1,973.11x = 2,375,878.09
  5. Step 5: Solve for x
    x = 2,375,878.09/1,973.11
  6. Step 6: Final answer
    x = 1,204.13

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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.