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Finding the Fourth Proportional to 1,689.01, 2,533.61 and 1,597.07

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Solution

The fourth proportional to 1,689.01, 2,533.61 and 1,597.07 is: 2,395.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689.01 : 2,533.61 = 1,597.07 : x
  2. Step 2: Convert to fraction form
    1,689.01/2,533.61 = 1,597.07/x
  3. Step 3: Cross multiply
    1,689.01x = 2,533.61 × 1,597.07
  4. Step 4: Simplify right side
    1,689.01x = 4,046,362.85
  5. Step 5: Solve for x
    x = 4,046,362.85/1,689.01
  6. Step 6: Final answer
    x = 2,395.70

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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.