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Finding the Fourth Proportional to 1,885.82, 2,598.28 and 1,647.95

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Solution

The fourth proportional to 1,885.82, 2,598.28 and 1,647.95 is: 2,270.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,885.82 : 2,598.28 = 1,647.95 : x
  2. Step 2: Convert to fraction form
    1,885.82/2,598.28 = 1,647.95/x
  3. Step 3: Cross multiply
    1,885.82x = 2,598.28 × 1,647.95
  4. Step 4: Simplify right side
    1,885.82x = 4,281,818.41
  5. Step 5: Solve for x
    x = 4,281,818.41/1,885.82
  6. Step 6: Final answer
    x = 2,270.54

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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.