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Finding the Fourth Proportional to 1,377.81, 2,058.35 and 984.69

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Solution

The fourth proportional to 1,377.81, 2,058.35 and 984.69 is: 1,471.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377.81 : 2,058.35 = 984.69 : x
  2. Step 2: Convert to fraction form
    1,377.81/2,058.35 = 984.69/x
  3. Step 3: Cross multiply
    1,377.81x = 2,058.35 × 984.69
  4. Step 4: Simplify right side
    1,377.81x = 2,026,831.74
  5. Step 5: Solve for x
    x = 2,026,831.74/1,377.81
  6. Step 6: Final answer
    x = 1,471.05

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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.