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Finding the Fourth Proportional to 1,665.83, 2,498.75 and 1,564.34

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Solution

The fourth proportional to 1,665.83, 2,498.75 and 1,564.34 is: 2,346.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,665.83 : 2,498.75 = 1,564.34 : x
  2. Step 2: Convert to fraction form
    1,665.83/2,498.75 = 1,564.34/x
  3. Step 3: Cross multiply
    1,665.83x = 2,498.75 × 1,564.34
  4. Step 4: Simplify right side
    1,665.83x = 3,908,894.58
  5. Step 5: Solve for x
    x = 3,908,894.58/1,665.83
  6. Step 6: Final answer
    x = 2,346.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.