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Finding the Fourth Proportional to 1,884.46, 2,600.54 and 1,045.17

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Solution

The fourth proportional to 1,884.46, 2,600.54 and 1,045.17 is: 1,442.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,884.46 : 2,600.54 = 1,045.17 : x
  2. Step 2: Convert to fraction form
    1,884.46/2,600.54 = 1,045.17/x
  3. Step 3: Cross multiply
    1,884.46x = 2,600.54 × 1,045.17
  4. Step 4: Simplify right side
    1,884.46x = 2,717,994.11
  5. Step 5: Solve for x
    x = 2,717,994.11/1,884.46
  6. Step 6: Final answer
    x = 1,442.32

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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.