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Finding the Fourth Proportional to 2,366.58, 3,547.29 and 905.10

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Solution

The fourth proportional to 2,366.58, 3,547.29 and 905.10 is: 1,356.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,366.58 : 3,547.29 = 905.10 : x
  2. Step 2: Convert to fraction form
    2,366.58/3,547.29 = 905.10/x
  3. Step 3: Cross multiply
    2,366.58x = 3,547.29 × 905.10
  4. Step 4: Simplify right side
    2,366.58x = 3,210,652.18
  5. Step 5: Solve for x
    x = 3,210,652.18/2,366.58
  6. Step 6: Final answer
    x = 1,356.66

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Why These Related Problems?

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