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Finding the Fourth Proportional to 2,030.72, 2,801.76 and 1,410.08

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Solution

The fourth proportional to 2,030.72, 2,801.76 and 1,410.08 is: 1,945.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030.72 : 2,801.76 = 1,410.08 : x
  2. Step 2: Convert to fraction form
    2,030.72/2,801.76 = 1,410.08/x
  3. Step 3: Cross multiply
    2,030.72x = 2,801.76 × 1,410.08
  4. Step 4: Simplify right side
    2,030.72x = 3,950,705.74
  5. Step 5: Solve for x
    x = 3,950,705.74/2,030.72
  6. Step 6: Final answer
    x = 1,945.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.