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Finding the Fourth Proportional to 1,700.61, 2,551.59 and 1,564.44

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Solution

The fourth proportional to 1,700.61, 2,551.59 and 1,564.44 is: 2,347.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,700.61 : 2,551.59 = 1,564.44 : x
  2. Step 2: Convert to fraction form
    1,700.61/2,551.59 = 1,564.44/x
  3. Step 3: Cross multiply
    1,700.61x = 2,551.59 × 1,564.44
  4. Step 4: Simplify right side
    1,700.61x = 3,991,809.46
  5. Step 5: Solve for x
    x = 3,991,809.46/1,700.61
  6. Step 6: Final answer
    x = 2,347.28

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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.