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Finding the Fourth Proportional to 2,356.58, 3,535.14 and 625.34

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Solution

The fourth proportional to 2,356.58, 3,535.14 and 625.34 is: 938.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356.58 : 3,535.14 = 625.34 : x
  2. Step 2: Convert to fraction form
    2,356.58/3,535.14 = 625.34/x
  3. Step 3: Cross multiply
    2,356.58x = 3,535.14 × 625.34
  4. Step 4: Simplify right side
    2,356.58x = 2,210,664.45
  5. Step 5: Solve for x
    x = 2,210,664.45/2,356.58
  6. Step 6: Final answer
    x = 938.08

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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.