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Finding the Fourth Proportional to 2,595.35, 3,581.56 and 1,416.35

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Solution

The fourth proportional to 2,595.35, 3,581.56 and 1,416.35 is: 1,954.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,595.35 : 3,581.56 = 1,416.35 : x
  2. Step 2: Convert to fraction form
    2,595.35/3,581.56 = 1,416.35/x
  3. Step 3: Cross multiply
    2,595.35x = 3,581.56 × 1,416.35
  4. Step 4: Simplify right side
    2,595.35x = 5,072,742.51
  5. Step 5: Solve for x
    x = 5,072,742.51/2,595.35
  6. Step 6: Final answer
    x = 1,954.55

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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.