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Finding the Fourth Proportional to 2,048.86, 3,070.20 and 1,526.40

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Solution

The fourth proportional to 2,048.86, 3,070.20 and 1,526.40 is: 2,287.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.86 : 3,070.20 = 1,526.40 : x
  2. Step 2: Convert to fraction form
    2,048.86/3,070.20 = 1,526.40/x
  3. Step 3: Cross multiply
    2,048.86x = 3,070.20 × 1,526.40
  4. Step 4: Simplify right side
    2,048.86x = 4,686,353.28
  5. Step 5: Solve for x
    x = 4,686,353.28/2,048.86
  6. Step 6: Final answer
    x = 2,287.30

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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.