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Finding the Fourth Proportional to 1,883.06, 2,835.64 and 1,642.46

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Solution

The fourth proportional to 1,883.06, 2,835.64 and 1,642.46 is: 2,473.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,883.06 : 2,835.64 = 1,642.46 : x
  2. Step 2: Convert to fraction form
    1,883.06/2,835.64 = 1,642.46/x
  3. Step 3: Cross multiply
    1,883.06x = 2,835.64 × 1,642.46
  4. Step 4: Simplify right side
    1,883.06x = 4,657,417.06
  5. Step 5: Solve for x
    x = 4,657,417.06/1,883.06
  6. Step 6: Final answer
    x = 2,473.32

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.