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Finding the Fourth Proportional to 2,356.93, 3,535.39 and 713.39

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Solution

The fourth proportional to 2,356.93, 3,535.39 and 713.39 is: 1,070.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356.93 : 3,535.39 = 713.39 : x
  2. Step 2: Convert to fraction form
    2,356.93/3,535.39 = 713.39/x
  3. Step 3: Cross multiply
    2,356.93x = 3,535.39 × 713.39
  4. Step 4: Simplify right side
    2,356.93x = 2,522,095.09
  5. Step 5: Solve for x
    x = 2,522,095.09/2,356.93
  6. Step 6: Final answer
    x = 1,070.08

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1.5x scale

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.