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Finding the Fourth Proportional to 2,364.13, 3,547.77 and 1,065.70

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Solution

The fourth proportional to 2,364.13, 3,547.77 and 1,065.70 is: 1,599.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,364.13 : 3,547.77 = 1,065.70 : x
  2. Step 2: Convert to fraction form
    2,364.13/3,547.77 = 1,065.70/x
  3. Step 3: Cross multiply
    2,364.13x = 3,547.77 × 1,065.70
  4. Step 4: Simplify right side
    2,364.13x = 3,780,858.49
  5. Step 5: Solve for x
    x = 3,780,858.49/2,364.13
  6. Step 6: Final answer
    x = 1,599.26

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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.