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Finding the Fourth Proportional to 2,904.40, 4,007.10 and 1,857.10

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Solution

The fourth proportional to 2,904.40, 4,007.10 and 1,857.10 is: 2,562.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,904.40 : 4,007.10 = 1,857.10 : x
  2. Step 2: Convert to fraction form
    2,904.40/4,007.10 = 1,857.10/x
  3. Step 3: Cross multiply
    2,904.40x = 4,007.10 × 1,857.10
  4. Step 4: Simplify right side
    2,904.40x = 7,441,585.41
  5. Step 5: Solve for x
    x = 7,441,585.41/2,904.40
  6. Step 6: Final answer
    x = 2,562.18

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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.