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Finding the Fourth Proportional to 1,935.32, 2,902.24 and 947.53

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Solution

The fourth proportional to 1,935.32, 2,902.24 and 947.53 is: 1,420.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,935.32 : 2,902.24 = 947.53 : x
  2. Step 2: Convert to fraction form
    1,935.32/2,902.24 = 947.53/x
  3. Step 3: Cross multiply
    1,935.32x = 2,902.24 × 947.53
  4. Step 4: Simplify right side
    1,935.32x = 2,749,940.22
  5. Step 5: Solve for x
    x = 2,749,940.22/1,935.32
  6. Step 6: Final answer
    x = 1,420.92

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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.