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Finding the Fourth Proportional to 2,869.47, 4,303.44 and 921.24

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Solution

The fourth proportional to 2,869.47, 4,303.44 and 921.24 is: 1,381.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,869.47 : 4,303.44 = 921.24 : x
  2. Step 2: Convert to fraction form
    2,869.47/4,303.44 = 921.24/x
  3. Step 3: Cross multiply
    2,869.47x = 4,303.44 × 921.24
  4. Step 4: Simplify right side
    2,869.47x = 3,964,501.07
  5. Step 5: Solve for x
    x = 3,964,501.07/2,869.47
  6. Step 6: Final answer
    x = 1,381.61

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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.