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Finding the Fourth Proportional to 1,574.76, 2,169.52 and 1,312.32

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Solution

The fourth proportional to 1,574.76, 2,169.52 and 1,312.32 is: 1,807.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574.76 : 2,169.52 = 1,312.32 : x
  2. Step 2: Convert to fraction form
    1,574.76/2,169.52 = 1,312.32/x
  3. Step 3: Cross multiply
    1,574.76x = 2,169.52 × 1,312.32
  4. Step 4: Simplify right side
    1,574.76x = 2,847,104.49
  5. Step 5: Solve for x
    x = 2,847,104.49/1,574.76
  6. Step 6: Final answer
    x = 1,807.96

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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.