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Finding the Fourth Proportional to 1,564.34, 2,347.16 and 833.72

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Solution

The fourth proportional to 1,564.34, 2,347.16 and 833.72 is: 1,250.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.34 : 2,347.16 = 833.72 : x
  2. Step 2: Convert to fraction form
    1,564.34/2,347.16 = 833.72/x
  3. Step 3: Cross multiply
    1,564.34x = 2,347.16 × 833.72
  4. Step 4: Simplify right side
    1,564.34x = 1,956,874.24
  5. Step 5: Solve for x
    x = 1,956,874.24/1,564.34
  6. Step 6: Final answer
    x = 1,250.93

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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.