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Finding the Fourth Proportional to 1,407.77, 2,108.53 and 1,133.17

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Solution

The fourth proportional to 1,407.77, 2,108.53 and 1,133.17 is: 1,697.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.77 : 2,108.53 = 1,133.17 : x
  2. Step 2: Convert to fraction form
    1,407.77/2,108.53 = 1,133.17/x
  3. Step 3: Cross multiply
    1,407.77x = 2,108.53 × 1,133.17
  4. Step 4: Simplify right side
    1,407.77x = 2,389,322.94
  5. Step 5: Solve for x
    x = 2,389,322.94/1,407.77
  6. Step 6: Final answer
    x = 1,697.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.