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Finding the Fourth Proportional to 2,316.51, 3,474.72 and 585.14

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Solution

The fourth proportional to 2,316.51, 3,474.72 and 585.14 is: 877.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,316.51 : 3,474.72 = 585.14 : x
  2. Step 2: Convert to fraction form
    2,316.51/3,474.72 = 585.14/x
  3. Step 3: Cross multiply
    2,316.51x = 3,474.72 × 585.14
  4. Step 4: Simplify right side
    2,316.51x = 2,033,180.29
  5. Step 5: Solve for x
    x = 2,033,180.29/2,316.51
  6. Step 6: Final answer
    x = 877.69

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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.