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Finding the Fourth Proportional to 2,292.40, 3,438.06 and 649.10

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Solution

The fourth proportional to 2,292.40, 3,438.06 and 649.10 is: 973.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,292.40 : 3,438.06 = 649.10 : x
  2. Step 2: Convert to fraction form
    2,292.40/3,438.06 = 649.10/x
  3. Step 3: Cross multiply
    2,292.40x = 3,438.06 × 649.10
  4. Step 4: Simplify right side
    2,292.40x = 2,231,644.75
  5. Step 5: Solve for x
    x = 2,231,644.75/2,292.40
  6. Step 6: Final answer
    x = 973.50

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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.