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Finding the Fourth Proportional to 2,356.16, 3,533.70 and 1,058

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Solution

The fourth proportional to 2,356.16, 3,533.70 and 1,058 is: 1,586.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356.16 : 3,533.70 = 1,058 : x
  2. Step 2: Convert to fraction form
    2,356.16/3,533.70 = 1,058/x
  3. Step 3: Cross multiply
    2,356.16x = 3,533.70 × 1,058
  4. Step 4: Simplify right side
    2,356.16x = 3,738,654.60
  5. Step 5: Solve for x
    x = 3,738,654.60/2,356.16
  6. Step 6: Final answer
    x = 1,586.76

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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.