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Finding the Fourth Proportional to 2,523.34, 3,783.12 and 1,699.30

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Solution

The fourth proportional to 2,523.34, 3,783.12 and 1,699.30 is: 2,547.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,523.34 : 3,783.12 = 1,699.30 : x
  2. Step 2: Convert to fraction form
    2,523.34/3,783.12 = 1,699.30/x
  3. Step 3: Cross multiply
    2,523.34x = 3,783.12 × 1,699.30
  4. Step 4: Simplify right side
    2,523.34x = 6,428,655.82
  5. Step 5: Solve for x
    x = 6,428,655.82/2,523.34
  6. Step 6: Final answer
    x = 2,547.68

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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.