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Finding the Fourth Proportional to 1,776.70, 2,451.84 and 1,030.81

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Solution

The fourth proportional to 1,776.70, 2,451.84 and 1,030.81 is: 1,422.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,776.70 : 2,451.84 = 1,030.81 : x
  2. Step 2: Convert to fraction form
    1,776.70/2,451.84 = 1,030.81/x
  3. Step 3: Cross multiply
    1,776.70x = 2,451.84 × 1,030.81
  4. Step 4: Simplify right side
    1,776.70x = 2,527,381.19
  5. Step 5: Solve for x
    x = 2,527,381.19/1,776.70
  6. Step 6: Final answer
    x = 1,422.51

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Why These Related Problems?

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