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Finding the Fourth Proportional to 1,765.93, 2,647.68 and 1,026.00

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Solution

The fourth proportional to 1,765.93, 2,647.68 and 1,026.00 is: 1,538.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765.93 : 2,647.68 = 1,026.00 : x
  2. Step 2: Convert to fraction form
    1,765.93/2,647.68 = 1,026.00/x
  3. Step 3: Cross multiply
    1,765.93x = 2,647.68 × 1,026.00
  4. Step 4: Simplify right side
    1,765.93x = 2,716,506.44
  5. Step 5: Solve for x
    x = 2,716,506.44/1,765.93
  6. Step 6: Final answer
    x = 1,538.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.