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Finding the Fourth Proportional to 1,346.32, 2,005.94 and 1,258

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Solution

The fourth proportional to 1,346.32, 2,005.94 and 1,258 is: 1,874.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346.32 : 2,005.94 = 1,258 : x
  2. Step 2: Convert to fraction form
    1,346.32/2,005.94 = 1,258/x
  3. Step 3: Cross multiply
    1,346.32x = 2,005.94 × 1,258
  4. Step 4: Simplify right side
    1,346.32x = 2,523,472.52
  5. Step 5: Solve for x
    x = 2,523,472.52/1,346.32
  6. Step 6: Final answer
    x = 1,874.35

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.