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Finding the Fourth Proportional to 2,357.48, 3,537.30 and 1,058.24

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Solution

The fourth proportional to 2,357.48, 3,537.30 and 1,058.24 is: 1,587.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.48 : 3,537.30 = 1,058.24 : x
  2. Step 2: Convert to fraction form
    2,357.48/3,537.30 = 1,058.24/x
  3. Step 3: Cross multiply
    2,357.48x = 3,537.30 × 1,058.24
  4. Step 4: Simplify right side
    2,357.48x = 3,743,312.35
  5. Step 5: Solve for x
    x = 3,743,312.35/2,357.48
  6. Step 6: Final answer
    x = 1,587.84

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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.