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Finding the Fourth Proportional to 2,322.99, 3,485.09 and 1,152.95

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Solution

The fourth proportional to 2,322.99, 3,485.09 and 1,152.95 is: 1,729.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322.99 : 3,485.09 = 1,152.95 : x
  2. Step 2: Convert to fraction form
    2,322.99/3,485.09 = 1,152.95/x
  3. Step 3: Cross multiply
    2,322.99x = 3,485.09 × 1,152.95
  4. Step 4: Simplify right side
    2,322.99x = 4,018,111.33
  5. Step 5: Solve for x
    x = 4,018,111.33/2,322.99
  6. Step 6: Final answer
    x = 1,729.72

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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.