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Finding the Fourth Proportional to 1,531.94, 2,298.94 and 984.52

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Solution

The fourth proportional to 1,531.94, 2,298.94 and 984.52 is: 1,477.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.94 : 2,298.94 = 984.52 : x
  2. Step 2: Convert to fraction form
    1,531.94/2,298.94 = 984.52/x
  3. Step 3: Cross multiply
    1,531.94x = 2,298.94 × 984.52
  4. Step 4: Simplify right side
    1,531.94x = 2,263,341.74
  5. Step 5: Solve for x
    x = 2,263,341.74/1,531.94
  6. Step 6: Final answer
    x = 1,477.43

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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.