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Finding the Fourth Proportional to 2,325.61, 3,487.70 and 786.25

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Solution

The fourth proportional to 2,325.61, 3,487.70 and 786.25 is: 1,179.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,325.61 : 3,487.70 = 786.25 : x
  2. Step 2: Convert to fraction form
    2,325.61/3,487.70 = 786.25/x
  3. Step 3: Cross multiply
    2,325.61x = 3,487.70 × 786.25
  4. Step 4: Simplify right side
    2,325.61x = 2,742,200.19
  5. Step 5: Solve for x
    x = 2,742,200.19/2,325.61
  6. Step 6: Final answer
    x = 1,179.13

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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.