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Finding the Fourth Proportional to 2,032.65, 3,048.93 and 937.01

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Solution

The fourth proportional to 2,032.65, 3,048.93 and 937.01 is: 1,405.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.65 : 3,048.93 = 937.01 : x
  2. Step 2: Convert to fraction form
    2,032.65/3,048.93 = 937.01/x
  3. Step 3: Cross multiply
    2,032.65x = 3,048.93 × 937.01
  4. Step 4: Simplify right side
    2,032.65x = 2,856,892.85
  5. Step 5: Solve for x
    x = 2,856,892.85/2,032.65
  6. Step 6: Final answer
    x = 1,405.50

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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.