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Finding the Fourth Proportional to 1,743.04, 2,406.04 and 1,276.48

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Solution

The fourth proportional to 1,743.04, 2,406.04 and 1,276.48 is: 1,762.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,743.04 : 2,406.04 = 1,276.48 : x
  2. Step 2: Convert to fraction form
    1,743.04/2,406.04 = 1,276.48/x
  3. Step 3: Cross multiply
    1,743.04x = 2,406.04 × 1,276.48
  4. Step 4: Simplify right side
    1,743.04x = 3,071,261.94
  5. Step 5: Solve for x
    x = 3,071,261.94/1,743.04
  6. Step 6: Final answer
    x = 1,762.01

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Why These Related Problems?

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