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Finding the Fourth Proportional to 2,030.08, 3,038.05 and 1,406.05

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Solution

The fourth proportional to 2,030.08, 3,038.05 and 1,406.05 is: 2,104.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030.08 : 3,038.05 = 1,406.05 : x
  2. Step 2: Convert to fraction form
    2,030.08/3,038.05 = 1,406.05/x
  3. Step 3: Cross multiply
    2,030.08x = 3,038.05 × 1,406.05
  4. Step 4: Simplify right side
    2,030.08x = 4,271,650.20
  5. Step 5: Solve for x
    x = 4,271,650.20/2,030.08
  6. Step 6: Final answer
    x = 2,104.18

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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.