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Finding the Fourth Proportional to 2,316.84, 3,475.28 and 585.46

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Solution

The fourth proportional to 2,316.84, 3,475.28 and 585.46 is: 878.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,316.84 : 3,475.28 = 585.46 : x
  2. Step 2: Convert to fraction form
    2,316.84/3,475.28 = 585.46/x
  3. Step 3: Cross multiply
    2,316.84x = 3,475.28 × 585.46
  4. Step 4: Simplify right side
    2,316.84x = 2,034,634.50
  5. Step 5: Solve for x
    x = 2,034,634.50/2,316.84
  6. Step 6: Final answer
    x = 878.20

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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.