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Finding the Fourth Proportional to 2,595.74, 3,582.18 and 1,416.83

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Solution

The fourth proportional to 2,595.74, 3,582.18 and 1,416.83 is: 1,955.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,595.74 : 3,582.18 = 1,416.83 : x
  2. Step 2: Convert to fraction form
    2,595.74/3,582.18 = 1,416.83/x
  3. Step 3: Cross multiply
    2,595.74x = 3,582.18 × 1,416.83
  4. Step 4: Simplify right side
    2,595.74x = 5,075,322.18
  5. Step 5: Solve for x
    x = 5,075,322.18/2,595.74
  6. Step 6: Final answer
    x = 1,955.25

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