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Finding the Fourth Proportional to 2,368.32, 3,552.47 and 807.57

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Solution

The fourth proportional to 2,368.32, 3,552.47 and 807.57 is: 1,211.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,368.32 : 3,552.47 = 807.57 : x
  2. Step 2: Convert to fraction form
    2,368.32/3,552.47 = 807.57/x
  3. Step 3: Cross multiply
    2,368.32x = 3,552.47 × 807.57
  4. Step 4: Simplify right side
    2,368.32x = 2,868,867.19
  5. Step 5: Solve for x
    x = 2,868,867.19/2,368.32
  6. Step 6: Final answer
    x = 1,211.35

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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.