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Finding the Fourth Proportional to 1,547.17, 2,135.09 and 839.00

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Solution

The fourth proportional to 1,547.17, 2,135.09 and 839.00 is: 1,157.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547.17 : 2,135.09 = 839.00 : x
  2. Step 2: Convert to fraction form
    1,547.17/2,135.09 = 839.00/x
  3. Step 3: Cross multiply
    1,547.17x = 2,135.09 × 839.00
  4. Step 4: Simplify right side
    1,547.17x = 1,791,347.95
  5. Step 5: Solve for x
    x = 1,791,347.95/1,547.17
  6. Step 6: Final answer
    x = 1,157.82

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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.