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Finding the Fourth Proportional to 2,373.66, 3,560.37 and 730.23

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Solution

The fourth proportional to 2,373.66, 3,560.37 and 730.23 is: 1,095.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,373.66 : 3,560.37 = 730.23 : x
  2. Step 2: Convert to fraction form
    2,373.66/3,560.37 = 730.23/x
  3. Step 3: Cross multiply
    2,373.66x = 3,560.37 × 730.23
  4. Step 4: Simplify right side
    2,373.66x = 2,599,888.99
  5. Step 5: Solve for x
    x = 2,599,888.99/2,373.66
  6. Step 6: Final answer
    x = 1,095.31

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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.