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Finding the Fourth Proportional to 2,985.32, 4,118.64 and 1,937

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Solution

The fourth proportional to 2,985.32, 4,118.64 and 1,937 is: 2,672.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,985.32 : 4,118.64 = 1,937 : x
  2. Step 2: Convert to fraction form
    2,985.32/4,118.64 = 1,937/x
  3. Step 3: Cross multiply
    2,985.32x = 4,118.64 × 1,937
  4. Step 4: Simplify right side
    2,985.32x = 7,977,805.68
  5. Step 5: Solve for x
    x = 7,977,805.68/2,985.32
  6. Step 6: Final answer
    x = 2,672.35

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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.