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Finding the Fourth Proportional to 6,459.93, 9,690.14 and 1,780.30

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Solution

The fourth proportional to 6,459.93, 9,690.14 and 1,780.30 is: 2,670.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,459.93 : 9,690.14 = 1,780.30 : x
  2. Step 2: Convert to fraction form
    6,459.93/9,690.14 = 1,780.30/x
  3. Step 3: Cross multiply
    6,459.93x = 9,690.14 × 1,780.30
  4. Step 4: Simplify right side
    6,459.93x = 17,251,356.24
  5. Step 5: Solve for x
    x = 17,251,356.24/6,459.93
  6. Step 6: Final answer
    x = 2,670.52

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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.