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Finding the Fourth Proportional to 1,801.35, 2,696.13 and 977.58

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Solution

The fourth proportional to 1,801.35, 2,696.13 and 977.58 is: 1,463.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,801.35 : 2,696.13 = 977.58 : x
  2. Step 2: Convert to fraction form
    1,801.35/2,696.13 = 977.58/x
  3. Step 3: Cross multiply
    1,801.35x = 2,696.13 × 977.58
  4. Step 4: Simplify right side
    1,801.35x = 2,635,682.77
  5. Step 5: Solve for x
    x = 2,635,682.77/1,801.35
  6. Step 6: Final answer
    x = 1,463.17

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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.