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Finding the Fourth Proportional to 2,253.42, 3,109.55 and 1,258.51

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Solution

The fourth proportional to 2,253.42, 3,109.55 and 1,258.51 is: 1,736.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,253.42 : 3,109.55 = 1,258.51 : x
  2. Step 2: Convert to fraction form
    2,253.42/3,109.55 = 1,258.51/x
  3. Step 3: Cross multiply
    2,253.42x = 3,109.55 × 1,258.51
  4. Step 4: Simplify right side
    2,253.42x = 3,913,384.22
  5. Step 5: Solve for x
    x = 3,913,384.22/2,253.42
  6. Step 6: Final answer
    x = 1,736.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.