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Finding the Fourth Proportional to 1,476.08, 2,036.91 and 846.57

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Solution

The fourth proportional to 1,476.08, 2,036.91 and 846.57 is: 1,168.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,476.08 : 2,036.91 = 846.57 : x
  2. Step 2: Convert to fraction form
    1,476.08/2,036.91 = 846.57/x
  3. Step 3: Cross multiply
    1,476.08x = 2,036.91 × 846.57
  4. Step 4: Simplify right side
    1,476.08x = 1,724,397.71
  5. Step 5: Solve for x
    x = 1,724,397.71/1,476.08
  6. Step 6: Final answer
    x = 1,168.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.