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Finding the Fourth Proportional to 1,820.05, 2,513.61 and 1,430.05

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Solution

The fourth proportional to 1,820.05, 2,513.61 and 1,430.05 is: 1,974.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,820.05 : 2,513.61 = 1,430.05 : x
  2. Step 2: Convert to fraction form
    1,820.05/2,513.61 = 1,430.05/x
  3. Step 3: Cross multiply
    1,820.05x = 2,513.61 × 1,430.05
  4. Step 4: Simplify right side
    1,820.05x = 3,594,587.98
  5. Step 5: Solve for x
    x = 3,594,587.98/1,820.05
  6. Step 6: Final answer
    x = 1,974.99

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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.