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Finding the Fourth Proportional to 1,564, 2,346 and 538

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Solution

The fourth proportional to 1,564, 2,346 and 538 is: 807

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564 : 2,346 = 538 : x
  2. Step 2: Convert to fraction form
    1,564/2,346 = 538/x
  3. Step 3: Cross multiply
    1,564x = 2,346 × 538
  4. Step 4: Simplify right side
    1,564x = 1,262,148
  5. Step 5: Solve for x
    x = 1,262,148/1,564
  6. Step 6: Final answer
    x = 807

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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.