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Finding the Fourth Proportional to 2,258.67, 3,130.10 and 2,214.93

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Solution

The fourth proportional to 2,258.67, 3,130.10 and 2,214.93 is: 3,069.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,258.67 : 3,130.10 = 2,214.93 : x
  2. Step 2: Convert to fraction form
    2,258.67/3,130.10 = 2,214.93/x
  3. Step 3: Cross multiply
    2,258.67x = 3,130.10 × 2,214.93
  4. Step 4: Simplify right side
    2,258.67x = 6,932,941.32
  5. Step 5: Solve for x
    x = 6,932,941.32/2,258.67
  6. Step 6: Final answer
    x = 3,069.48

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.