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Finding the Fourth Proportional to 1,506.17, 2,259.94 and 891.08

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Solution

The fourth proportional to 1,506.17, 2,259.94 and 891.08 is: 1,337.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506.17 : 2,259.94 = 891.08 : x
  2. Step 2: Convert to fraction form
    1,506.17/2,259.94 = 891.08/x
  3. Step 3: Cross multiply
    1,506.17x = 2,259.94 × 891.08
  4. Step 4: Simplify right side
    1,506.17x = 2,013,771.58
  5. Step 5: Solve for x
    x = 2,013,771.58/1,506.17
  6. Step 6: Final answer
    x = 1,337.02

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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.