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Finding the Fourth Proportional to 1,842.04, 2,542.07 and 1,055.93

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Solution

The fourth proportional to 1,842.04, 2,542.07 and 1,055.93 is: 1,457.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,842.04 : 2,542.07 = 1,055.93 : x
  2. Step 2: Convert to fraction form
    1,842.04/2,542.07 = 1,055.93/x
  3. Step 3: Cross multiply
    1,842.04x = 2,542.07 × 1,055.93
  4. Step 4: Simplify right side
    1,842.04x = 2,684,242.70
  5. Step 5: Solve for x
    x = 2,684,242.70/1,842.04
  6. Step 6: Final answer
    x = 1,457.22

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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.