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Finding the Fourth Proportional to 2,337.62, 3,506.85 and 877.19

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Solution

The fourth proportional to 2,337.62, 3,506.85 and 877.19 is: 1,315.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,337.62 : 3,506.85 = 877.19 : x
  2. Step 2: Convert to fraction form
    2,337.62/3,506.85 = 877.19/x
  3. Step 3: Cross multiply
    2,337.62x = 3,506.85 × 877.19
  4. Step 4: Simplify right side
    2,337.62x = 3,076,156.22
  5. Step 5: Solve for x
    x = 3,076,156.22/2,337.62
  6. Step 6: Final answer
    x = 1,315.94

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1.5x scale

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.