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Finding the Fourth Proportional to 1,657.86, 2,483.19 and 1,009.14

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Solution

The fourth proportional to 1,657.86, 2,483.19 and 1,009.14 is: 1,511.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657.86 : 2,483.19 = 1,009.14 : x
  2. Step 2: Convert to fraction form
    1,657.86/2,483.19 = 1,009.14/x
  3. Step 3: Cross multiply
    1,657.86x = 2,483.19 × 1,009.14
  4. Step 4: Simplify right side
    1,657.86x = 2,505,886.36
  5. Step 5: Solve for x
    x = 2,505,886.36/1,657.86
  6. Step 6: Final answer
    x = 1,511.52

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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.