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Finding the Fourth Proportional to 2,970.32, 4,454.40 and 1,238

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Solution

The fourth proportional to 2,970.32, 4,454.40 and 1,238 is: 1,856.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.32 : 4,454.40 = 1,238 : x
  2. Step 2: Convert to fraction form
    2,970.32/4,454.40 = 1,238/x
  3. Step 3: Cross multiply
    2,970.32x = 4,454.40 × 1,238
  4. Step 4: Simplify right side
    2,970.32x = 5,514,547.20
  5. Step 5: Solve for x
    x = 5,514,547.20/2,970.32
  6. Step 6: Final answer
    x = 1,856.55

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