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Finding the Fourth Proportional to 1,985.98, 2,741.81 and 1,484.59

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Solution

The fourth proportional to 1,985.98, 2,741.81 and 1,484.59 is: 2,049.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,985.98 : 2,741.81 = 1,484.59 : x
  2. Step 2: Convert to fraction form
    1,985.98/2,741.81 = 1,484.59/x
  3. Step 3: Cross multiply
    1,985.98x = 2,741.81 × 1,484.59
  4. Step 4: Simplify right side
    1,985.98x = 4,070,463.71
  5. Step 5: Solve for x
    x = 4,070,463.71/1,985.98
  6. Step 6: Final answer
    x = 2,049.60

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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.