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Finding the Fourth Proportional to 2,307.18, 3,460.80 and 575.76

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Solution

The fourth proportional to 2,307.18, 3,460.80 and 575.76 is: 863.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,307.18 : 3,460.80 = 575.76 : x
  2. Step 2: Convert to fraction form
    2,307.18/3,460.80 = 575.76/x
  3. Step 3: Cross multiply
    2,307.18x = 3,460.80 × 575.76
  4. Step 4: Simplify right side
    2,307.18x = 1,992,590.21
  5. Step 5: Solve for x
    x = 1,992,590.21/2,307.18
  6. Step 6: Final answer
    x = 863.65

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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.