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Finding the Fourth Proportional to 1,883.06, 2,598.63 and 1,055.06

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Solution

The fourth proportional to 1,883.06, 2,598.63 and 1,055.06 is: 1,455.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,883.06 : 2,598.63 = 1,055.06 : x
  2. Step 2: Convert to fraction form
    1,883.06/2,598.63 = 1,055.06/x
  3. Step 3: Cross multiply
    1,883.06x = 2,598.63 × 1,055.06
  4. Step 4: Simplify right side
    1,883.06x = 2,741,710.57
  5. Step 5: Solve for x
    x = 2,741,710.57/1,883.06
  6. Step 6: Final answer
    x = 1,455.99

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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.