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Finding the Fourth Proportional to 2,870.74, 4,307.23 and 2,320.58

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Solution

The fourth proportional to 2,870.74, 4,307.23 and 2,320.58 is: 3,481.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,870.74 : 4,307.23 = 2,320.58 : x
  2. Step 2: Convert to fraction form
    2,870.74/4,307.23 = 2,320.58/x
  3. Step 3: Cross multiply
    2,870.74x = 4,307.23 × 2,320.58
  4. Step 4: Simplify right side
    2,870.74x = 9,995,267.76
  5. Step 5: Solve for x
    x = 9,995,267.76/2,870.74
  6. Step 6: Final answer
    x = 3,481.77

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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.