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Finding the Fourth Proportional to 2,365.01, 3,547.51 and 1,066.85

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Solution

The fourth proportional to 2,365.01, 3,547.51 and 1,066.85 is: 1,600.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,365.01 : 3,547.51 = 1,066.85 : x
  2. Step 2: Convert to fraction form
    2,365.01/3,547.51 = 1,066.85/x
  3. Step 3: Cross multiply
    2,365.01x = 3,547.51 × 1,066.85
  4. Step 4: Simplify right side
    2,365.01x = 3,784,640.64
  5. Step 5: Solve for x
    x = 3,784,640.64/2,365.01
  6. Step 6: Final answer
    x = 1,600.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.