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Finding the Fourth Proportional to 1,851.84, 2,555.88 and 1,065.96

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Solution

The fourth proportional to 1,851.84, 2,555.88 and 1,065.96 is: 1,471.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,851.84 : 2,555.88 = 1,065.96 : x
  2. Step 2: Convert to fraction form
    1,851.84/2,555.88 = 1,065.96/x
  3. Step 3: Cross multiply
    1,851.84x = 2,555.88 × 1,065.96
  4. Step 4: Simplify right side
    1,851.84x = 2,724,465.84
  5. Step 5: Solve for x
    x = 2,724,465.84/1,851.84
  6. Step 6: Final answer
    x = 1,471.22

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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.