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Finding the Fourth Proportional to 1,352.77, 2,026.72 and 1,258

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Solution

The fourth proportional to 1,352.77, 2,026.72 and 1,258 is: 1,884.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,352.77 : 2,026.72 = 1,258 : x
  2. Step 2: Convert to fraction form
    1,352.77/2,026.72 = 1,258/x
  3. Step 3: Cross multiply
    1,352.77x = 2,026.72 × 1,258
  4. Step 4: Simplify right side
    1,352.77x = 2,549,613.76
  5. Step 5: Solve for x
    x = 2,549,613.76/1,352.77
  6. Step 6: Final answer
    x = 1,884.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.