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Finding the Fourth Proportional to 2,953.40, 4,430.48 and 1,005.08

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Solution

The fourth proportional to 2,953.40, 4,430.48 and 1,005.08 is: 1,507.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,953.40 : 4,430.48 = 1,005.08 : x
  2. Step 2: Convert to fraction form
    2,953.40/4,430.48 = 1,005.08/x
  3. Step 3: Cross multiply
    2,953.40x = 4,430.48 × 1,005.08
  4. Step 4: Simplify right side
    2,953.40x = 4,452,986.84
  5. Step 5: Solve for x
    x = 4,452,986.84/2,953.40
  6. Step 6: Final answer
    x = 1,507.75

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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.