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Finding the Fourth Proportional to 1,750.12, 2,415.16 and 964.16

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Solution

The fourth proportional to 1,750.12, 2,415.16 and 964.16 is: 1,330.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,750.12 : 2,415.16 = 964.16 : x
  2. Step 2: Convert to fraction form
    1,750.12/2,415.16 = 964.16/x
  3. Step 3: Cross multiply
    1,750.12x = 2,415.16 × 964.16
  4. Step 4: Simplify right side
    1,750.12x = 2,328,598.85
  5. Step 5: Solve for x
    x = 2,328,598.85/1,750.12
  6. Step 6: Final answer
    x = 1,330.54

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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.