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Finding the Fourth Proportional to 3,036.70, 4,555.24 and 956.77

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Solution

The fourth proportional to 3,036.70, 4,555.24 and 956.77 is: 1,435.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,036.70 : 4,555.24 = 956.77 : x
  2. Step 2: Convert to fraction form
    3,036.70/4,555.24 = 956.77/x
  3. Step 3: Cross multiply
    3,036.70x = 4,555.24 × 956.77
  4. Step 4: Simplify right side
    3,036.70x = 4,358,312.19
  5. Step 5: Solve for x
    x = 4,358,312.19/3,036.70
  6. Step 6: Final answer
    x = 1,435.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.