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Finding the Fourth Proportional to 2,365.16, 3,547.76 and 1,066.28

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Solution

The fourth proportional to 2,365.16, 3,547.76 and 1,066.28 is: 1,599.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,365.16 : 3,547.76 = 1,066.28 : x
  2. Step 2: Convert to fraction form
    2,365.16/3,547.76 = 1,066.28/x
  3. Step 3: Cross multiply
    2,365.16x = 3,547.76 × 1,066.28
  4. Step 4: Simplify right side
    2,365.16x = 3,782,905.53
  5. Step 5: Solve for x
    x = 3,782,905.53/2,365.16
  6. Step 6: Final answer
    x = 1,599.43

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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.