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Finding the Fourth Proportional to 4,298.36, 6,442.62 and 1,985

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Solution

The fourth proportional to 4,298.36, 6,442.62 and 1,985 is: 2,975.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,298.36 : 6,442.62 = 1,985 : x
  2. Step 2: Convert to fraction form
    4,298.36/6,442.62 = 1,985/x
  3. Step 3: Cross multiply
    4,298.36x = 6,442.62 × 1,985
  4. Step 4: Simplify right side
    4,298.36x = 12,788,600.70
  5. Step 5: Solve for x
    x = 12,788,600.70/4,298.36
  6. Step 6: Final answer
    x = 2,975.23

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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.