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Finding the Fourth Proportional to 2,018.84, 2,785.68 and 1,134.47

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Solution

The fourth proportional to 2,018.84, 2,785.68 and 1,134.47 is: 1,565.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,018.84 : 2,785.68 = 1,134.47 : x
  2. Step 2: Convert to fraction form
    2,018.84/2,785.68 = 1,134.47/x
  3. Step 3: Cross multiply
    2,018.84x = 2,785.68 × 1,134.47
  4. Step 4: Simplify right side
    2,018.84x = 3,160,256.46
  5. Step 5: Solve for x
    x = 3,160,256.46/2,018.84
  6. Step 6: Final answer
    x = 1,565.39

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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.