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Finding the Fourth Proportional to 2,465.10, 3,697.60 and 710.12

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Solution

The fourth proportional to 2,465.10, 3,697.60 and 710.12 is: 1,065.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,465.10 : 3,697.60 = 710.12 : x
  2. Step 2: Convert to fraction form
    2,465.10/3,697.60 = 710.12/x
  3. Step 3: Cross multiply
    2,465.10x = 3,697.60 × 710.12
  4. Step 4: Simplify right side
    2,465.10x = 2,625,739.71
  5. Step 5: Solve for x
    x = 2,625,739.71/2,465.10
  6. Step 6: Final answer
    x = 1,065.17

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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.