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Finding the Fourth Proportional to 2,384.64, 3,291.04 and 1,600.32

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Solution

The fourth proportional to 2,384.64, 3,291.04 and 1,600.32 is: 2,208.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384.64 : 3,291.04 = 1,600.32 : x
  2. Step 2: Convert to fraction form
    2,384.64/3,291.04 = 1,600.32/x
  3. Step 3: Cross multiply
    2,384.64x = 3,291.04 × 1,600.32
  4. Step 4: Simplify right side
    2,384.64x = 5,266,717.13
  5. Step 5: Solve for x
    x = 5,266,717.13/2,384.64
  6. Step 6: Final answer
    x = 2,208.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.