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Finding the Fourth Proportional to 1,947.64, 2,921.49 and 649.11

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Solution

The fourth proportional to 1,947.64, 2,921.49 and 649.11 is: 973.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,947.64 : 2,921.49 = 649.11 : x
  2. Step 2: Convert to fraction form
    1,947.64/2,921.49 = 649.11/x
  3. Step 3: Cross multiply
    1,947.64x = 2,921.49 × 649.11
  4. Step 4: Simplify right side
    1,947.64x = 1,896,368.37
  5. Step 5: Solve for x
    x = 1,896,368.37/1,947.64
  6. Step 6: Final answer
    x = 973.67

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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.