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Finding the Fourth Proportional to 4,203.80, 6,301.70 and 1,570.60

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Solution

The fourth proportional to 4,203.80, 6,301.70 and 1,570.60 is: 2,354.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,203.80 : 6,301.70 = 1,570.60 : x
  2. Step 2: Convert to fraction form
    4,203.80/6,301.70 = 1,570.60/x
  3. Step 3: Cross multiply
    4,203.80x = 6,301.70 × 1,570.60
  4. Step 4: Simplify right side
    4,203.80x = 9,897,450.02
  5. Step 5: Solve for x
    x = 9,897,450.02/4,203.80
  6. Step 6: Final answer
    x = 2,354.41

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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.