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Finding the Fourth Proportional to 1,779.34, 2,455.68 and 993.58

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Solution

The fourth proportional to 1,779.34, 2,455.68 and 993.58 is: 1,371.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,779.34 : 2,455.68 = 993.58 : x
  2. Step 2: Convert to fraction form
    1,779.34/2,455.68 = 993.58/x
  3. Step 3: Cross multiply
    1,779.34x = 2,455.68 × 993.58
  4. Step 4: Simplify right side
    1,779.34x = 2,439,914.53
  5. Step 5: Solve for x
    x = 2,439,914.53/1,779.34
  6. Step 6: Final answer
    x = 1,371.25

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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.