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Finding the Fourth Proportional to 2,090.58, 3,117.15 and 2,053.68

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Solution

The fourth proportional to 2,090.58, 3,117.15 and 2,053.68 is: 3,062.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,090.58 : 3,117.15 = 2,053.68 : x
  2. Step 2: Convert to fraction form
    2,090.58/3,117.15 = 2,053.68/x
  3. Step 3: Cross multiply
    2,090.58x = 3,117.15 × 2,053.68
  4. Step 4: Simplify right side
    2,090.58x = 6,401,628.61
  5. Step 5: Solve for x
    x = 6,401,628.61/2,090.58
  6. Step 6: Final answer
    x = 3,062.13

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.