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Finding the Fourth Proportional to 1,779.48, 2,455.76 and 982.90

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Solution

The fourth proportional to 1,779.48, 2,455.76 and 982.90 is: 1,356.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,779.48 : 2,455.76 = 982.90 : x
  2. Step 2: Convert to fraction form
    1,779.48/2,455.76 = 982.90/x
  3. Step 3: Cross multiply
    1,779.48x = 2,455.76 × 982.90
  4. Step 4: Simplify right side
    1,779.48x = 2,413,766.50
  5. Step 5: Solve for x
    x = 2,413,766.50/1,779.48
  6. Step 6: Final answer
    x = 1,356.44

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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.