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Finding the Fourth Proportional to 2,477.71, 3,419.13 and 1,482.39

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Solution

The fourth proportional to 2,477.71, 3,419.13 and 1,482.39 is: 2,045.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477.71 : 3,419.13 = 1,482.39 : x
  2. Step 2: Convert to fraction form
    2,477.71/3,419.13 = 1,482.39/x
  3. Step 3: Cross multiply
    2,477.71x = 3,419.13 × 1,482.39
  4. Step 4: Simplify right side
    2,477.71x = 5,068,484.12
  5. Step 5: Solve for x
    x = 5,068,484.12/2,477.71
  6. Step 6: Final answer
    x = 2,045.63

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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.