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Finding the Fourth Proportional to 1,610, 2,415.72 and 584.72

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Solution

The fourth proportional to 1,610, 2,415.72 and 584.72 is: 877.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610 : 2,415.72 = 584.72 : x
  2. Step 2: Convert to fraction form
    1,610/2,415.72 = 584.72/x
  3. Step 3: Cross multiply
    1,610x = 2,415.72 × 584.72
  4. Step 4: Simplify right side
    1,610x = 1,412,519.80
  5. Step 5: Solve for x
    x = 1,412,519.80/1,610
  6. Step 6: Final answer
    x = 877.34

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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.