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Finding the Fourth Proportional to 2,357.80, 3,538.10 and 897.10

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Solution

The fourth proportional to 2,357.80, 3,538.10 and 897.10 is: 1,346.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.80 : 3,538.10 = 897.10 : x
  2. Step 2: Convert to fraction form
    2,357.80/3,538.10 = 897.10/x
  3. Step 3: Cross multiply
    2,357.80x = 3,538.10 × 897.10
  4. Step 4: Simplify right side
    2,357.80x = 3,174,029.51
  5. Step 5: Solve for x
    x = 3,174,029.51/2,357.80
  6. Step 6: Final answer
    x = 1,346.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.