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Finding the Fourth Proportional to 1,762.45, 2,426.63 and 1,341.45

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Solution

The fourth proportional to 1,762.45, 2,426.63 and 1,341.45 is: 1,846.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762.45 : 2,426.63 = 1,341.45 : x
  2. Step 2: Convert to fraction form
    1,762.45/2,426.63 = 1,341.45/x
  3. Step 3: Cross multiply
    1,762.45x = 2,426.63 × 1,341.45
  4. Step 4: Simplify right side
    1,762.45x = 3,255,196.11
  5. Step 5: Solve for x
    x = 3,255,196.11/1,762.45
  6. Step 6: Final answer
    x = 1,846.97

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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.