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Finding the Fourth Proportional to 2,070.30, 2,904.90 and 2,070.30

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Solution

The fourth proportional to 2,070.30, 2,904.90 and 2,070.30 is: 2,904.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,070.30 : 2,904.90 = 2,070.30 : x
  2. Step 2: Convert to fraction form
    2,070.30/2,904.90 = 2,070.30/x
  3. Step 3: Cross multiply
    2,070.30x = 2,904.90 × 2,070.30
  4. Step 4: Simplify right side
    2,070.30x = 6,014,014.47
  5. Step 5: Solve for x
    x = 6,014,014.47/2,070.30
  6. Step 6: Final answer
    x = 2,904.90

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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.