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Finding the Fourth Proportional to 2,326.34, 3,484.91 and 1,402.14

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Solution

The fourth proportional to 2,326.34, 3,484.91 and 1,402.14 is: 2,100.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,326.34 : 3,484.91 = 1,402.14 : x
  2. Step 2: Convert to fraction form
    2,326.34/3,484.91 = 1,402.14/x
  3. Step 3: Cross multiply
    2,326.34x = 3,484.91 × 1,402.14
  4. Step 4: Simplify right side
    2,326.34x = 4,886,331.71
  5. Step 5: Solve for x
    x = 4,886,331.71/2,326.34
  6. Step 6: Final answer
    x = 2,100.44

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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.