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Finding the Fourth Proportional to 2,477.51, 3,419.03 and 1,358.50

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Solution

The fourth proportional to 2,477.51, 3,419.03 and 1,358.50 is: 1,874.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,477.51 : 3,419.03 = 1,358.50 : x
  2. Step 2: Convert to fraction form
    2,477.51/3,419.03 = 1,358.50/x
  3. Step 3: Cross multiply
    2,477.51x = 3,419.03 × 1,358.50
  4. Step 4: Simplify right side
    2,477.51x = 4,644,752.26
  5. Step 5: Solve for x
    x = 4,644,752.26/2,477.51
  6. Step 6: Final answer
    x = 1,874.77

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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.