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Finding the Fourth Proportional to 1,783.71, 2,461.52 and 1,038.16

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Solution

The fourth proportional to 1,783.71, 2,461.52 and 1,038.16 is: 1,432.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,783.71 : 2,461.52 = 1,038.16 : x
  2. Step 2: Convert to fraction form
    1,783.71/2,461.52 = 1,038.16/x
  3. Step 3: Cross multiply
    1,783.71x = 2,461.52 × 1,038.16
  4. Step 4: Simplify right side
    1,783.71x = 2,555,451.60
  5. Step 5: Solve for x
    x = 2,555,451.60/1,783.71
  6. Step 6: Final answer
    x = 1,432.66

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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.