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Finding the Fourth Proportional to 2,387, 3,294.06 and 1,339.10

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Solution

The fourth proportional to 2,387, 3,294.06 and 1,339.10 is: 1,847.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,387 : 3,294.06 = 1,339.10 : x
  2. Step 2: Convert to fraction form
    2,387/3,294.06 = 1,339.10/x
  3. Step 3: Cross multiply
    2,387x = 3,294.06 × 1,339.10
  4. Step 4: Simplify right side
    2,387x = 4,411,075.75
  5. Step 5: Solve for x
    x = 4,411,075.75/2,387
  6. Step 6: Final answer
    x = 1,847.96

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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.