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Finding the Fourth Proportional to 1,347.84, 1,859.16 and 882.12

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Solution

The fourth proportional to 1,347.84, 1,859.16 and 882.12 is: 1,216.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,347.84 : 1,859.16 = 882.12 : x
  2. Step 2: Convert to fraction form
    1,347.84/1,859.16 = 882.12/x
  3. Step 3: Cross multiply
    1,347.84x = 1,859.16 × 882.12
  4. Step 4: Simplify right side
    1,347.84x = 1,640,002.22
  5. Step 5: Solve for x
    x = 1,640,002.22/1,347.84
  6. Step 6: Final answer
    x = 1,216.76

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1.5x scale

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.