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Finding the Fourth Proportional to 2,316.38, 3,474.56 and 585

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Solution

The fourth proportional to 2,316.38, 3,474.56 and 585 is: 877.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,316.38 : 3,474.56 = 585 : x
  2. Step 2: Convert to fraction form
    2,316.38/3,474.56 = 585/x
  3. Step 3: Cross multiply
    2,316.38x = 3,474.56 × 585
  4. Step 4: Simplify right side
    2,316.38x = 2,032,619.06
  5. Step 5: Solve for x
    x = 2,032,619.06/2,316.38
  6. Step 6: Final answer
    x = 877.50

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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.