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Finding the Fourth Proportional to 2,530.07, 3,795.72 and 970.04

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Solution

The fourth proportional to 2,530.07, 3,795.72 and 970.04 is: 1,455.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,530.07 : 3,795.72 = 970.04 : x
  2. Step 2: Convert to fraction form
    2,530.07/3,795.72 = 970.04/x
  3. Step 3: Cross multiply
    2,530.07x = 3,795.72 × 970.04
  4. Step 4: Simplify right side
    2,530.07x = 3,681,995.38
  5. Step 5: Solve for x
    x = 3,681,995.38/2,530.07
  6. Step 6: Final answer
    x = 1,455.30

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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.