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Finding the Fourth Proportional to 2,307.30, 3,457.86 and 845.10

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Solution

The fourth proportional to 2,307.30, 3,457.86 and 845.10 is: 1,266.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,307.30 : 3,457.86 = 845.10 : x
  2. Step 2: Convert to fraction form
    2,307.30/3,457.86 = 845.10/x
  3. Step 3: Cross multiply
    2,307.30x = 3,457.86 × 845.10
  4. Step 4: Simplify right side
    2,307.30x = 2,922,237.49
  5. Step 5: Solve for x
    x = 2,922,237.49/2,307.30
  6. Step 6: Final answer
    x = 1,266.52

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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.