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Finding the Fourth Proportional to 1,898.16, 2,617.72 and 1,235.22

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Solution

The fourth proportional to 1,898.16, 2,617.72 and 1,235.22 is: 1,703.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,898.16 : 2,617.72 = 1,235.22 : x
  2. Step 2: Convert to fraction form
    1,898.16/2,617.72 = 1,235.22/x
  3. Step 3: Cross multiply
    1,898.16x = 2,617.72 × 1,235.22
  4. Step 4: Simplify right side
    1,898.16x = 3,233,460.10
  5. Step 5: Solve for x
    x = 3,233,460.10/1,898.16
  6. Step 6: Final answer
    x = 1,703.47

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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.