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Finding the Fourth Proportional to 1,710.63, 2,564.32 and 1,052.91

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Solution

The fourth proportional to 1,710.63, 2,564.32 and 1,052.91 is: 1,578.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,710.63 : 2,564.32 = 1,052.91 : x
  2. Step 2: Convert to fraction form
    1,710.63/2,564.32 = 1,052.91/x
  3. Step 3: Cross multiply
    1,710.63x = 2,564.32 × 1,052.91
  4. Step 4: Simplify right side
    1,710.63x = 2,699,998.17
  5. Step 5: Solve for x
    x = 2,699,998.17/1,710.63
  6. Step 6: Final answer
    x = 1,578.36

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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.