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Finding the Fourth Proportional to 2,475.06, 3,707.12 and 1,009.77

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Solution

The fourth proportional to 2,475.06, 3,707.12 and 1,009.77 is: 1,512.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,475.06 : 3,707.12 = 1,009.77 : x
  2. Step 2: Convert to fraction form
    2,475.06/3,707.12 = 1,009.77/x
  3. Step 3: Cross multiply
    2,475.06x = 3,707.12 × 1,009.77
  4. Step 4: Simplify right side
    2,475.06x = 3,743,333.51
  5. Step 5: Solve for x
    x = 3,743,333.51/2,475.06
  6. Step 6: Final answer
    x = 1,512.42

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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.