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Finding the Fourth Proportional to 1,750.76, 2,416.16 and 964.80

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Solution

The fourth proportional to 1,750.76, 2,416.16 and 964.80 is: 1,331.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,750.76 : 2,416.16 = 964.80 : x
  2. Step 2: Convert to fraction form
    1,750.76/2,416.16 = 964.80/x
  3. Step 3: Cross multiply
    1,750.76x = 2,416.16 × 964.80
  4. Step 4: Simplify right side
    1,750.76x = 2,331,106.34
  5. Step 5: Solve for x
    x = 2,331,106.34/1,750.76
  6. Step 6: Final answer
    x = 1,331.49

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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.