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Finding the Fourth Proportional to 2,595.07, 3,581.21 and 1,416.17

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Solution

The fourth proportional to 2,595.07, 3,581.21 and 1,416.17 is: 1,954.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,595.07 : 3,581.21 = 1,416.17 : x
  2. Step 2: Convert to fraction form
    2,595.07/3,581.21 = 1,416.17/x
  3. Step 3: Cross multiply
    2,595.07x = 3,581.21 × 1,416.17
  4. Step 4: Simplify right side
    2,595.07x = 5,071,602.17
  5. Step 5: Solve for x
    x = 5,071,602.17/2,595.07
  6. Step 6: Final answer
    x = 1,954.32

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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.