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Finding the Fourth Proportional to 2,595.85, 3,582.12 and 1,416.88

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Solution

The fourth proportional to 2,595.85, 3,582.12 and 1,416.88 is: 1,955.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,595.85 : 3,582.12 = 1,416.88 : x
  2. Step 2: Convert to fraction form
    2,595.85/3,582.12 = 1,416.88/x
  3. Step 3: Cross multiply
    2,595.85x = 3,582.12 × 1,416.88
  4. Step 4: Simplify right side
    2,595.85x = 5,075,434.19
  5. Step 5: Solve for x
    x = 5,075,434.19/2,595.85
  6. Step 6: Final answer
    x = 1,955.21

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