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Finding the Fourth Proportional to 1,359.86, 2,029.93 and 1,258.34

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Solution

The fourth proportional to 1,359.86, 2,029.93 and 1,258.34 is: 1,878.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,359.86 : 2,029.93 = 1,258.34 : x
  2. Step 2: Convert to fraction form
    1,359.86/2,029.93 = 1,258.34/x
  3. Step 3: Cross multiply
    1,359.86x = 2,029.93 × 1,258.34
  4. Step 4: Simplify right side
    1,359.86x = 2,554,328.82
  5. Step 5: Solve for x
    x = 2,554,328.82/1,359.86
  6. Step 6: Final answer
    x = 1,878.38

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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.