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Finding the Fourth Proportional to 1,296.40, 1,953.26 and 1,173.16

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Solution

The fourth proportional to 1,296.40, 1,953.26 and 1,173.16 is: 1,767.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.40 : 1,953.26 = 1,173.16 : x
  2. Step 2: Convert to fraction form
    1,296.40/1,953.26 = 1,173.16/x
  3. Step 3: Cross multiply
    1,296.40x = 1,953.26 × 1,173.16
  4. Step 4: Simplify right side
    1,296.40x = 2,291,486.50
  5. Step 5: Solve for x
    x = 2,291,486.50/1,296.40
  6. Step 6: Final answer
    x = 1,767.58

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.