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Finding the Fourth Proportional to 2,307.09, 3,458.51 and 920.10

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Solution

The fourth proportional to 2,307.09, 3,458.51 and 920.10 is: 1,379.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,307.09 : 3,458.51 = 920.10 : x
  2. Step 2: Convert to fraction form
    2,307.09/3,458.51 = 920.10/x
  3. Step 3: Cross multiply
    2,307.09x = 3,458.51 × 920.10
  4. Step 4: Simplify right side
    2,307.09x = 3,182,157.76
  5. Step 5: Solve for x
    x = 3,182,157.76/2,307.09
  6. Step 6: Final answer
    x = 1,379.30

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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.