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Finding the Fourth Proportional to 2,125.70, 2,980.30 and 2,125.70

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Solution

The fourth proportional to 2,125.70, 2,980.30 and 2,125.70 is: 2,980.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,125.70 : 2,980.30 = 2,125.70 : x
  2. Step 2: Convert to fraction form
    2,125.70/2,980.30 = 2,125.70/x
  3. Step 3: Cross multiply
    2,125.70x = 2,980.30 × 2,125.70
  4. Step 4: Simplify right side
    2,125.70x = 6,335,223.71
  5. Step 5: Solve for x
    x = 6,335,223.71/2,125.70
  6. Step 6: Final answer
    x = 2,980.30

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.