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Finding the Fourth Proportional to 1,564.52, 2,346.84 and 1,009.53

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Solution

The fourth proportional to 1,564.52, 2,346.84 and 1,009.53 is: 1,514.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.52 : 2,346.84 = 1,009.53 : x
  2. Step 2: Convert to fraction form
    1,564.52/2,346.84 = 1,009.53/x
  3. Step 3: Cross multiply
    1,564.52x = 2,346.84 × 1,009.53
  4. Step 4: Simplify right side
    1,564.52x = 2,369,205.39
  5. Step 5: Solve for x
    x = 2,369,205.39/1,564.52
  6. Step 6: Final answer
    x = 1,514.34

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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.