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Finding the Fourth Proportional to 1,652.16, 2,279.34 and 953.40

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Solution

The fourth proportional to 1,652.16, 2,279.34 and 953.40 is: 1,315.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,652.16 : 2,279.34 = 953.40 : x
  2. Step 2: Convert to fraction form
    1,652.16/2,279.34 = 953.40/x
  3. Step 3: Cross multiply
    1,652.16x = 2,279.34 × 953.40
  4. Step 4: Simplify right side
    1,652.16x = 2,173,122.76
  5. Step 5: Solve for x
    x = 2,173,122.76/1,652.16
  6. Step 6: Final answer
    x = 1,315.32

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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.