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Finding the Fourth Proportional to 2,270.04, 3,405.06 and 710.01

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Solution

The fourth proportional to 2,270.04, 3,405.06 and 710.01 is: 1,065.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,270.04 : 3,405.06 = 710.01 : x
  2. Step 2: Convert to fraction form
    2,270.04/3,405.06 = 710.01/x
  3. Step 3: Cross multiply
    2,270.04x = 3,405.06 × 710.01
  4. Step 4: Simplify right side
    2,270.04x = 2,417,626.65
  5. Step 5: Solve for x
    x = 2,417,626.65/2,270.04
  6. Step 6: Final answer
    x = 1,065.02

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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.