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Finding the Fourth Proportional to 2,356.16, 3,534.24 and 624.77

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Solution

The fourth proportional to 2,356.16, 3,534.24 and 624.77 is: 937.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356.16 : 3,534.24 = 624.77 : x
  2. Step 2: Convert to fraction form
    2,356.16/3,534.24 = 624.77/x
  3. Step 3: Cross multiply
    2,356.16x = 3,534.24 × 624.77
  4. Step 4: Simplify right side
    2,356.16x = 2,208,087.12
  5. Step 5: Solve for x
    x = 2,208,087.12/2,356.16
  6. Step 6: Final answer
    x = 937.16

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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.