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Finding the Fourth Proportional to 2,595.76, 3,582.18 and 1,416.84

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Solution

The fourth proportional to 2,595.76, 3,582.18 and 1,416.84 is: 1,955.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,595.76 : 3,582.18 = 1,416.84 : x
  2. Step 2: Convert to fraction form
    2,595.76/3,582.18 = 1,416.84/x
  3. Step 3: Cross multiply
    2,595.76x = 3,582.18 × 1,416.84
  4. Step 4: Simplify right side
    2,595.76x = 5,075,375.91
  5. Step 5: Solve for x
    x = 5,075,375.91/2,595.76
  6. Step 6: Final answer
    x = 1,955.26

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