Home / 1,645.71-2,271.21-947.07

Finding the Fourth Proportional to 1,645.71, 2,271.21 and 947.07

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Solution

The fourth proportional to 1,645.71, 2,271.21 and 947.07 is: 1,307.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.71 : 2,271.21 = 947.07 : x
  2. Step 2: Convert to fraction form
    1,645.71/2,271.21 = 947.07/x
  3. Step 3: Cross multiply
    1,645.71x = 2,271.21 × 947.07
  4. Step 4: Simplify right side
    1,645.71x = 2,150,994.85
  5. Step 5: Solve for x
    x = 2,150,994.85/1,645.71
  6. Step 6: Final answer
    x = 1,307.03

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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.