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Finding the Fourth Proportional to 1,798.76, 2,479.47 and 1,648.10

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Solution

The fourth proportional to 1,798.76, 2,479.47 and 1,648.10 is: 2,271.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,798.76 : 2,479.47 = 1,648.10 : x
  2. Step 2: Convert to fraction form
    1,798.76/2,479.47 = 1,648.10/x
  3. Step 3: Cross multiply
    1,798.76x = 2,479.47 × 1,648.10
  4. Step 4: Simplify right side
    1,798.76x = 4,086,414.51
  5. Step 5: Solve for x
    x = 4,086,414.51/1,798.76
  6. Step 6: Final answer
    x = 2,271.80

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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.