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Finding the Fourth Proportional to 1,798.84, 2,484.35 and 1,405.27

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Solution

The fourth proportional to 1,798.84, 2,484.35 and 1,405.27 is: 1,940.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,798.84 : 2,484.35 = 1,405.27 : x
  2. Step 2: Convert to fraction form
    1,798.84/2,484.35 = 1,405.27/x
  3. Step 3: Cross multiply
    1,798.84x = 2,484.35 × 1,405.27
  4. Step 4: Simplify right side
    1,798.84x = 3,491,182.52
  5. Step 5: Solve for x
    x = 3,491,182.52/1,798.84
  6. Step 6: Final answer
    x = 1,940.80

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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.