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Finding the Fourth Proportional to 1,774.16, 2,661.35 and 541.57

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Solution

The fourth proportional to 1,774.16, 2,661.35 and 541.57 is: 812.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,774.16 : 2,661.35 = 541.57 : x
  2. Step 2: Convert to fraction form
    1,774.16/2,661.35 = 541.57/x
  3. Step 3: Cross multiply
    1,774.16x = 2,661.35 × 541.57
  4. Step 4: Simplify right side
    1,774.16x = 1,441,307.32
  5. Step 5: Solve for x
    x = 1,441,307.32/1,774.16
  6. Step 6: Final answer
    x = 812.39

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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.