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Finding the Fourth Proportional to 1,715.85, 2,367.85 and 929.89

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Solution

The fourth proportional to 1,715.85, 2,367.85 and 929.89 is: 1,283.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,715.85 : 2,367.85 = 929.89 : x
  2. Step 2: Convert to fraction form
    1,715.85/2,367.85 = 929.89/x
  3. Step 3: Cross multiply
    1,715.85x = 2,367.85 × 929.89
  4. Step 4: Simplify right side
    1,715.85x = 2,201,840.04
  5. Step 5: Solve for x
    x = 2,201,840.04/1,715.85
  6. Step 6: Final answer
    x = 1,283.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.