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Finding the Fourth Proportional to 1,715.46, 2,573.82 and 561.18

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Solution

The fourth proportional to 1,715.46, 2,573.82 and 561.18 is: 841.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,715.46 : 2,573.82 = 561.18 : x
  2. Step 2: Convert to fraction form
    1,715.46/2,573.82 = 561.18/x
  3. Step 3: Cross multiply
    1,715.46x = 2,573.82 × 561.18
  4. Step 4: Simplify right side
    1,715.46x = 1,444,376.31
  5. Step 5: Solve for x
    x = 1,444,376.31/1,715.46
  6. Step 6: Final answer
    x = 841.98

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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.