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Finding the Fourth Proportional to 1,955.54, 2,933.31 and 657.01

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Solution

The fourth proportional to 1,955.54, 2,933.31 and 657.01 is: 985.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,955.54 : 2,933.31 = 657.01 : x
  2. Step 2: Convert to fraction form
    1,955.54/2,933.31 = 657.01/x
  3. Step 3: Cross multiply
    1,955.54x = 2,933.31 × 657.01
  4. Step 4: Simplify right side
    1,955.54x = 1,927,220.13
  5. Step 5: Solve for x
    x = 1,927,220.13/1,955.54
  6. Step 6: Final answer
    x = 985.52

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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.