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Finding the Fourth Proportional to 1,365.04, 2,047.94 and 671.91

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Solution

The fourth proportional to 1,365.04, 2,047.94 and 671.91 is: 1,008.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.04 : 2,047.94 = 671.91 : x
  2. Step 2: Convert to fraction form
    1,365.04/2,047.94 = 671.91/x
  3. Step 3: Cross multiply
    1,365.04x = 2,047.94 × 671.91
  4. Step 4: Simplify right side
    1,365.04x = 1,376,036.26
  5. Step 5: Solve for x
    x = 1,376,036.26/1,365.04
  6. Step 6: Final answer
    x = 1,008.06

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Why These Related Problems?

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