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Finding the Fourth Proportional to 1,796.34, 2,695.53 and 975.07

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Solution

The fourth proportional to 1,796.34, 2,695.53 and 975.07 is: 1,463.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,796.34 : 2,695.53 = 975.07 : x
  2. Step 2: Convert to fraction form
    1,796.34/2,695.53 = 975.07/x
  3. Step 3: Cross multiply
    1,796.34x = 2,695.53 × 975.07
  4. Step 4: Simplify right side
    1,796.34x = 2,628,330.44
  5. Step 5: Solve for x
    x = 2,628,330.44/1,796.34
  6. Step 6: Final answer
    x = 1,463.16

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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.