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Finding the Fourth Proportional to 2,357.61, 3,537.43 and 897.18

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Solution

The fourth proportional to 2,357.61, 3,537.43 and 897.18 is: 1,346.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.61 : 3,537.43 = 897.18 : x
  2. Step 2: Convert to fraction form
    2,357.61/3,537.43 = 897.18/x
  3. Step 3: Cross multiply
    2,357.61x = 3,537.43 × 897.18
  4. Step 4: Simplify right side
    2,357.61x = 3,173,696.00
  5. Step 5: Solve for x
    x = 3,173,696.00/2,357.61
  6. Step 6: Final answer
    x = 1,346.15

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Why These Related Problems?

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