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Finding the Fourth Proportional to 1,823.68, 2,515 and 1,235.08

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Solution

The fourth proportional to 1,823.68, 2,515 and 1,235.08 is: 1,703.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,823.68 : 2,515 = 1,235.08 : x
  2. Step 2: Convert to fraction form
    1,823.68/2,515 = 1,235.08/x
  3. Step 3: Cross multiply
    1,823.68x = 2,515 × 1,235.08
  4. Step 4: Simplify right side
    1,823.68x = 3,106,226.20
  5. Step 5: Solve for x
    x = 3,106,226.20/1,823.68
  6. Step 6: Final answer
    x = 1,703.27

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