Home / 1,533.25-2,302.14-946.56

Finding the Fourth Proportional to 1,533.25, 2,302.14 and 946.56

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Solution

The fourth proportional to 1,533.25, 2,302.14 and 946.56 is: 1,421.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533.25 : 2,302.14 = 946.56 : x
  2. Step 2: Convert to fraction form
    1,533.25/2,302.14 = 946.56/x
  3. Step 3: Cross multiply
    1,533.25x = 2,302.14 × 946.56
  4. Step 4: Simplify right side
    1,533.25x = 2,179,113.64
  5. Step 5: Solve for x
    x = 2,179,113.64/1,533.25
  6. Step 6: Final answer
    x = 1,421.24

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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.