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Finding the Fourth Proportional to 1,564.86, 2,348.70 and 835.06

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Solution

The fourth proportional to 1,564.86, 2,348.70 and 835.06 is: 1,253.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.86 : 2,348.70 = 835.06 : x
  2. Step 2: Convert to fraction form
    1,564.86/2,348.70 = 835.06/x
  3. Step 3: Cross multiply
    1,564.86x = 2,348.70 × 835.06
  4. Step 4: Simplify right side
    1,564.86x = 1,961,305.42
  5. Step 5: Solve for x
    x = 1,961,305.42/1,564.86
  6. Step 6: Final answer
    x = 1,253.34

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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.