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Finding the Fourth Proportional to 1,715.34, 2,573.28 and 561

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Solution

The fourth proportional to 1,715.34, 2,573.28 and 561 is: 841.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,715.34 : 2,573.28 = 561 : x
  2. Step 2: Convert to fraction form
    1,715.34/2,573.28 = 561/x
  3. Step 3: Cross multiply
    1,715.34x = 2,573.28 × 561
  4. Step 4: Simplify right side
    1,715.34x = 1,443,610.08
  5. Step 5: Solve for x
    x = 1,443,610.08/1,715.34
  6. Step 6: Final answer
    x = 841.59

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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.