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Finding the Fourth Proportional to 2,357.30, 3,537.30 and 1,627.40

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Solution

The fourth proportional to 2,357.30, 3,537.30 and 1,627.40 is: 2,442.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.30 : 3,537.30 = 1,627.40 : x
  2. Step 2: Convert to fraction form
    2,357.30/3,537.30 = 1,627.40/x
  3. Step 3: Cross multiply
    2,357.30x = 3,537.30 × 1,627.40
  4. Step 4: Simplify right side
    2,357.30x = 5,756,602.02
  5. Step 5: Solve for x
    x = 5,756,602.02/2,357.30
  6. Step 6: Final answer
    x = 2,442.03

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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.