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Finding the Fourth Proportional to 3,486.34, 4,810.77 and 1,914.10

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Solution

The fourth proportional to 3,486.34, 4,810.77 and 1,914.10 is: 2,641.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,486.34 : 4,810.77 = 1,914.10 : x
  2. Step 2: Convert to fraction form
    3,486.34/4,810.77 = 1,914.10/x
  3. Step 3: Cross multiply
    3,486.34x = 4,810.77 × 1,914.10
  4. Step 4: Simplify right side
    3,486.34x = 9,208,294.86
  5. Step 5: Solve for x
    x = 9,208,294.86/3,486.34
  6. Step 6: Final answer
    x = 2,641.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.