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Finding the Fourth Proportional to 2,506.01, 3,458.21 and 1,386.90

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Solution

The fourth proportional to 2,506.01, 3,458.21 and 1,386.90 is: 1,913.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,506.01 : 3,458.21 = 1,386.90 : x
  2. Step 2: Convert to fraction form
    2,506.01/3,458.21 = 1,386.90/x
  3. Step 3: Cross multiply
    2,506.01x = 3,458.21 × 1,386.90
  4. Step 4: Simplify right side
    2,506.01x = 4,796,184.51
  5. Step 5: Solve for x
    x = 4,796,184.51/2,506.01
  6. Step 6: Final answer
    x = 1,913.88

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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.