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Finding the Fourth Proportional to 2,041.47, 2,811.06 and 1,746.09

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Solution

The fourth proportional to 2,041.47, 2,811.06 and 1,746.09 is: 2,404.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,041.47 : 2,811.06 = 1,746.09 : x
  2. Step 2: Convert to fraction form
    2,041.47/2,811.06 = 1,746.09/x
  3. Step 3: Cross multiply
    2,041.47x = 2,811.06 × 1,746.09
  4. Step 4: Simplify right side
    2,041.47x = 4,908,363.76
  5. Step 5: Solve for x
    x = 4,908,363.76/2,041.47
  6. Step 6: Final answer
    x = 2,404.33

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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.