Home / 1,645.16-2,270.10-946.58

Finding the Fourth Proportional to 1,645.16, 2,270.10 and 946.58

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Solution

The fourth proportional to 1,645.16, 2,270.10 and 946.58 is: 1,306.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,645.16 : 2,270.10 = 946.58 : x
  2. Step 2: Convert to fraction form
    1,645.16/2,270.10 = 946.58/x
  3. Step 3: Cross multiply
    1,645.16x = 2,270.10 × 946.58
  4. Step 4: Simplify right side
    1,645.16x = 2,148,831.26
  5. Step 5: Solve for x
    x = 2,148,831.26/1,645.16
  6. Step 6: Final answer
    x = 1,306.15

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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.