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Finding the Fourth Proportional to 1,971.74, 2,957.49 and 585.08

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Solution

The fourth proportional to 1,971.74, 2,957.49 and 585.08 is: 877.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971.74 : 2,957.49 = 585.08 : x
  2. Step 2: Convert to fraction form
    1,971.74/2,957.49 = 585.08/x
  3. Step 3: Cross multiply
    1,971.74x = 2,957.49 × 585.08
  4. Step 4: Simplify right side
    1,971.74x = 1,730,368.25
  5. Step 5: Solve for x
    x = 1,730,368.25/1,971.74
  6. Step 6: Final answer
    x = 877.58

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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.