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Finding the Fourth Proportional to 2,595.72, 3,582.18 and 1,416.86

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Solution

The fourth proportional to 2,595.72, 3,582.18 and 1,416.86 is: 1,955.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,595.72 : 3,582.18 = 1,416.86 : x
  2. Step 2: Convert to fraction form
    2,595.72/3,582.18 = 1,416.86/x
  3. Step 3: Cross multiply
    2,595.72x = 3,582.18 × 1,416.86
  4. Step 4: Simplify right side
    2,595.72x = 5,075,447.55
  5. Step 5: Solve for x
    x = 5,075,447.55/2,595.72
  6. Step 6: Final answer
    x = 1,955.31

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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.