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Finding the Fourth Proportional to 1,657.37, 2,486.64 and 877.40

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Solution

The fourth proportional to 1,657.37, 2,486.64 and 877.40 is: 1,316.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,657.37 : 2,486.64 = 877.40 : x
  2. Step 2: Convert to fraction form
    1,657.37/2,486.64 = 877.40/x
  3. Step 3: Cross multiply
    1,657.37x = 2,486.64 × 877.40
  4. Step 4: Simplify right side
    1,657.37x = 2,181,765.50
  5. Step 5: Solve for x
    x = 2,181,765.50/1,657.37
  6. Step 6: Final answer
    x = 1,316.41

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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.