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Finding the Fourth Proportional to 1,547.48, 2,319.59 and 1,114.40

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Solution

The fourth proportional to 1,547.48, 2,319.59 and 1,114.40 is: 1,670.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547.48 : 2,319.59 = 1,114.40 : x
  2. Step 2: Convert to fraction form
    1,547.48/2,319.59 = 1,114.40/x
  3. Step 3: Cross multiply
    1,547.48x = 2,319.59 × 1,114.40
  4. Step 4: Simplify right side
    1,547.48x = 2,584,933.93
  5. Step 5: Solve for x
    x = 2,584,933.93/1,547.48
  6. Step 6: Final answer
    x = 1,670.42

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