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Finding the Fourth Proportional to 2,697.84, 4,047.48 and 1,775.16

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Solution

The fourth proportional to 2,697.84, 4,047.48 and 1,775.16 is: 2,663.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,697.84 : 4,047.48 = 1,775.16 : x
  2. Step 2: Convert to fraction form
    2,697.84/4,047.48 = 1,775.16/x
  3. Step 3: Cross multiply
    2,697.84x = 4,047.48 × 1,775.16
  4. Step 4: Simplify right side
    2,697.84x = 7,184,924.60
  5. Step 5: Solve for x
    x = 7,184,924.60/2,697.84
  6. Step 6: Final answer
    x = 2,663.21

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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.