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Finding the Fourth Proportional to 2,237.04, 3,356.10 and 776.22

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Solution

The fourth proportional to 2,237.04, 3,356.10 and 776.22 is: 1,164.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,237.04 : 3,356.10 = 776.22 : x
  2. Step 2: Convert to fraction form
    2,237.04/3,356.10 = 776.22/x
  3. Step 3: Cross multiply
    2,237.04x = 3,356.10 × 776.22
  4. Step 4: Simplify right side
    2,237.04x = 2,605,071.94
  5. Step 5: Solve for x
    x = 2,605,071.94/2,237.04
  6. Step 6: Final answer
    x = 1,164.52

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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.