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Finding the Fourth Proportional to 2,303.17, 3,454.80 and 571.75

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Solution

The fourth proportional to 2,303.17, 3,454.80 and 571.75 is: 857.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,303.17 : 3,454.80 = 571.75 : x
  2. Step 2: Convert to fraction form
    2,303.17/3,454.80 = 571.75/x
  3. Step 3: Cross multiply
    2,303.17x = 3,454.80 × 571.75
  4. Step 4: Simplify right side
    2,303.17x = 1,975,281.90
  5. Step 5: Solve for x
    x = 1,975,281.90/2,303.17
  6. Step 6: Final answer
    x = 857.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.