Home / 1,506.14-2,077.80-946.33

Finding the Fourth Proportional to 1,506.14, 2,077.80 and 946.33

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Solution

The fourth proportional to 1,506.14, 2,077.80 and 946.33 is: 1,305.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506.14 : 2,077.80 = 946.33 : x
  2. Step 2: Convert to fraction form
    1,506.14/2,077.80 = 946.33/x
  3. Step 3: Cross multiply
    1,506.14x = 2,077.80 × 946.33
  4. Step 4: Simplify right side
    1,506.14x = 1,966,292.74
  5. Step 5: Solve for x
    x = 1,966,292.74/1,506.14
  6. Step 6: Final answer
    x = 1,305.51

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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.