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Finding the Fourth Proportional to 1,788.35, 2,681.85 and 618.02

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Solution

The fourth proportional to 1,788.35, 2,681.85 and 618.02 is: 926.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,788.35 : 2,681.85 = 618.02 : x
  2. Step 2: Convert to fraction form
    1,788.35/2,681.85 = 618.02/x
  3. Step 3: Cross multiply
    1,788.35x = 2,681.85 × 618.02
  4. Step 4: Simplify right side
    1,788.35x = 1,657,436.94
  5. Step 5: Solve for x
    x = 1,657,436.94/1,788.35
  6. Step 6: Final answer
    x = 926.80

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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.