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Finding the Fourth Proportional to 2,595.64, 3,581.99 and 1,416.72

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Solution

The fourth proportional to 2,595.64, 3,581.99 and 1,416.72 is: 1,955.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,595.64 : 3,581.99 = 1,416.72 : x
  2. Step 2: Convert to fraction form
    2,595.64/3,581.99 = 1,416.72/x
  3. Step 3: Cross multiply
    2,595.64x = 3,581.99 × 1,416.72
  4. Step 4: Simplify right side
    2,595.64x = 5,074,676.87
  5. Step 5: Solve for x
    x = 5,074,676.87/2,595.64
  6. Step 6: Final answer
    x = 1,955.08

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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.