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Finding the Fourth Proportional to 1,758.24, 2,636.55 and 784.35

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Solution

The fourth proportional to 1,758.24, 2,636.55 and 784.35 is: 1,176.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,758.24 : 2,636.55 = 784.35 : x
  2. Step 2: Convert to fraction form
    1,758.24/2,636.55 = 784.35/x
  3. Step 3: Cross multiply
    1,758.24x = 2,636.55 × 784.35
  4. Step 4: Simplify right side
    1,758.24x = 2,067,977.99
  5. Step 5: Solve for x
    x = 2,067,977.99/1,758.24
  6. Step 6: Final answer
    x = 1,176.16

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