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Finding the Fourth Proportional to 2,210.34, 3,314.70 and 649.94

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Solution

The fourth proportional to 2,210.34, 3,314.70 and 649.94 is: 974.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,210.34 : 3,314.70 = 649.94 : x
  2. Step 2: Convert to fraction form
    2,210.34/3,314.70 = 649.94/x
  3. Step 3: Cross multiply
    2,210.34x = 3,314.70 × 649.94
  4. Step 4: Simplify right side
    2,210.34x = 2,154,364.40
  5. Step 5: Solve for x
    x = 2,154,364.40/2,210.34
  6. Step 6: Final answer
    x = 974.68

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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.