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Finding the Fourth Proportional to 2,065.66, 2,851.66 and 1,310.21

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Solution

The fourth proportional to 2,065.66, 2,851.66 and 1,310.21 is: 1,808.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.66 : 2,851.66 = 1,310.21 : x
  2. Step 2: Convert to fraction form
    2,065.66/2,851.66 = 1,310.21/x
  3. Step 3: Cross multiply
    2,065.66x = 2,851.66 × 1,310.21
  4. Step 4: Simplify right side
    2,065.66x = 3,736,271.51
  5. Step 5: Solve for x
    x = 3,736,271.51/2,065.66
  6. Step 6: Final answer
    x = 1,808.76

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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.