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Finding the Fourth Proportional to 2,130.40, 3,193.05 and 1,253.32

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Solution

The fourth proportional to 2,130.40, 3,193.05 and 1,253.32 is: 1,878.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.40 : 3,193.05 = 1,253.32 : x
  2. Step 2: Convert to fraction form
    2,130.40/3,193.05 = 1,253.32/x
  3. Step 3: Cross multiply
    2,130.40x = 3,193.05 × 1,253.32
  4. Step 4: Simplify right side
    2,130.40x = 4,001,913.43
  5. Step 5: Solve for x
    x = 4,001,913.43/2,130.40
  6. Step 6: Final answer
    x = 1,878.48

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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.