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Finding the Fourth Proportional to 1,557.09, 2,148.69 and 893.88

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Solution

The fourth proportional to 1,557.09, 2,148.69 and 893.88 is: 1,233.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,557.09 : 2,148.69 = 893.88 : x
  2. Step 2: Convert to fraction form
    1,557.09/2,148.69 = 893.88/x
  3. Step 3: Cross multiply
    1,557.09x = 2,148.69 × 893.88
  4. Step 4: Simplify right side
    1,557.09x = 1,920,671.02
  5. Step 5: Solve for x
    x = 1,920,671.02/1,557.09
  6. Step 6: Final answer
    x = 1,233.50

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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.