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Finding the Fourth Proportional to 2,171.81, 3,254.18 and 1,130.39

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Solution

The fourth proportional to 2,171.81, 3,254.18 and 1,130.39 is: 1,693.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171.81 : 3,254.18 = 1,130.39 : x
  2. Step 2: Convert to fraction form
    2,171.81/3,254.18 = 1,130.39/x
  3. Step 3: Cross multiply
    2,171.81x = 3,254.18 × 1,130.39
  4. Step 4: Simplify right side
    2,171.81x = 3,678,482.81
  5. Step 5: Solve for x
    x = 3,678,482.81/2,171.81
  6. Step 6: Final answer
    x = 1,693.74

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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.