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Finding the Fourth Proportional to 1,355.51, 2,031.20 and 1,007.16

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Solution

The fourth proportional to 1,355.51, 2,031.20 and 1,007.16 is: 1,509.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,355.51 : 2,031.20 = 1,007.16 : x
  2. Step 2: Convert to fraction form
    1,355.51/2,031.20 = 1,007.16/x
  3. Step 3: Cross multiply
    1,355.51x = 2,031.20 × 1,007.16
  4. Step 4: Simplify right side
    1,355.51x = 2,045,743.06
  5. Step 5: Solve for x
    x = 2,045,743.06/1,355.51
  6. Step 6: Final answer
    x = 1,509.21

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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.