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Finding the Fourth Proportional to 2,301.18, 3,464.22 and 2,097.06

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Solution

The fourth proportional to 2,301.18, 3,464.22 and 2,097.06 is: 3,156.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,301.18 : 3,464.22 = 2,097.06 : x
  2. Step 2: Convert to fraction form
    2,301.18/3,464.22 = 2,097.06/x
  3. Step 3: Cross multiply
    2,301.18x = 3,464.22 × 2,097.06
  4. Step 4: Simplify right side
    2,301.18x = 7,264,677.19
  5. Step 5: Solve for x
    x = 7,264,677.19/2,301.18
  6. Step 6: Final answer
    x = 3,156.94

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.