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Finding the Fourth Proportional to 2,130.02, 3,193.17 and 832.40

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Solution

The fourth proportional to 2,130.02, 3,193.17 and 832.40 is: 1,247.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.02 : 3,193.17 = 832.40 : x
  2. Step 2: Convert to fraction form
    2,130.02/3,193.17 = 832.40/x
  3. Step 3: Cross multiply
    2,130.02x = 3,193.17 × 832.40
  4. Step 4: Simplify right side
    2,130.02x = 2,657,994.71
  5. Step 5: Solve for x
    x = 2,657,994.71/2,130.02
  6. Step 6: Final answer
    x = 1,247.87

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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.