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Finding the Fourth Proportional to 2,357.69, 3,534.70 and 1,058.25

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Solution

The fourth proportional to 2,357.69, 3,534.70 and 1,058.25 is: 1,586.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.69 : 3,534.70 = 1,058.25 : x
  2. Step 2: Convert to fraction form
    2,357.69/3,534.70 = 1,058.25/x
  3. Step 3: Cross multiply
    2,357.69x = 3,534.70 × 1,058.25
  4. Step 4: Simplify right side
    2,357.69x = 3,740,596.28
  5. Step 5: Solve for x
    x = 3,740,596.28/2,357.69
  6. Step 6: Final answer
    x = 1,586.55

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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.