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Finding the Fourth Proportional to 1,874.51, 2,809.61 and 1,007

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Solution

The fourth proportional to 1,874.51, 2,809.61 and 1,007 is: 1,509.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,874.51 : 2,809.61 = 1,007 : x
  2. Step 2: Convert to fraction form
    1,874.51/2,809.61 = 1,007/x
  3. Step 3: Cross multiply
    1,874.51x = 2,809.61 × 1,007
  4. Step 4: Simplify right side
    1,874.51x = 2,829,272.24
  5. Step 5: Solve for x
    x = 2,829,272.24/1,874.51
  6. Step 6: Final answer
    x = 1,509.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.