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Finding the Fourth Proportional to 2,957.72, 4,435.10 and 1,009.24

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Solution

The fourth proportional to 2,957.72, 4,435.10 and 1,009.24 is: 1,513.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,957.72 : 4,435.10 = 1,009.24 : x
  2. Step 2: Convert to fraction form
    2,957.72/4,435.10 = 1,009.24/x
  3. Step 3: Cross multiply
    2,957.72x = 4,435.10 × 1,009.24
  4. Step 4: Simplify right side
    2,957.72x = 4,476,080.32
  5. Step 5: Solve for x
    x = 4,476,080.32/2,957.72
  6. Step 6: Final answer
    x = 1,513.35

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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.