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Finding the Fourth Proportional to 2,907.92, 4,012.58 and 1,712.00

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Solution

The fourth proportional to 2,907.92, 4,012.58 and 1,712.00 is: 2,362.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,907.92 : 4,012.58 = 1,712.00 : x
  2. Step 2: Convert to fraction form
    2,907.92/4,012.58 = 1,712.00/x
  3. Step 3: Cross multiply
    2,907.92x = 4,012.58 × 1,712.00
  4. Step 4: Simplify right side
    2,907.92x = 6,869,508.34
  5. Step 5: Solve for x
    x = 6,869,508.34/2,907.92
  6. Step 6: Final answer
    x = 2,362.35

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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.