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Finding the Fourth Proportional to 2,335.71, 3,504.06 and 776.05

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Solution

The fourth proportional to 2,335.71, 3,504.06 and 776.05 is: 1,164.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,335.71 : 3,504.06 = 776.05 : x
  2. Step 2: Convert to fraction form
    2,335.71/3,504.06 = 776.05/x
  3. Step 3: Cross multiply
    2,335.71x = 3,504.06 × 776.05
  4. Step 4: Simplify right side
    2,335.71x = 2,719,325.76
  5. Step 5: Solve for x
    x = 2,719,325.76/2,335.71
  6. Step 6: Final answer
    x = 1,164.24

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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.