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Finding the Fourth Proportional to 2,887.68, 4,333.35 and 1,657.50

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Solution

The fourth proportional to 2,887.68, 4,333.35 and 1,657.50 is: 2,487.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,887.68 : 4,333.35 = 1,657.50 : x
  2. Step 2: Convert to fraction form
    2,887.68/4,333.35 = 1,657.50/x
  3. Step 3: Cross multiply
    2,887.68x = 4,333.35 × 1,657.50
  4. Step 4: Simplify right side
    2,887.68x = 7,182,527.63
  5. Step 5: Solve for x
    x = 7,182,527.63/2,887.68
  6. Step 6: Final answer
    x = 2,487.30

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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.