Home / 1,648.47-2,473.22-1,031.32

Finding the Fourth Proportional to 1,648.47, 2,473.22 and 1,031.32

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Solution

The fourth proportional to 1,648.47, 2,473.22 and 1,031.32 is: 1,547.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.47 : 2,473.22 = 1,031.32 : x
  2. Step 2: Convert to fraction form
    1,648.47/2,473.22 = 1,031.32/x
  3. Step 3: Cross multiply
    1,648.47x = 2,473.22 × 1,031.32
  4. Step 4: Simplify right side
    1,648.47x = 2,550,676.09
  5. Step 5: Solve for x
    x = 2,550,676.09/1,648.47
  6. Step 6: Final answer
    x = 1,547.30

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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.