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Finding the Fourth Proportional to 1,743.51, 2,406.15 and 1,153.02

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Solution

The fourth proportional to 1,743.51, 2,406.15 and 1,153.02 is: 1,591.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,743.51 : 2,406.15 = 1,153.02 : x
  2. Step 2: Convert to fraction form
    1,743.51/2,406.15 = 1,153.02/x
  3. Step 3: Cross multiply
    1,743.51x = 2,406.15 × 1,153.02
  4. Step 4: Simplify right side
    1,743.51x = 2,774,339.07
  5. Step 5: Solve for x
    x = 2,774,339.07/1,743.51
  6. Step 6: Final answer
    x = 1,591.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.