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Finding the Fourth Proportional to 1,751.74, 2,417.40 and 955.07

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Solution

The fourth proportional to 1,751.74, 2,417.40 and 955.07 is: 1,317.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,751.74 : 2,417.40 = 955.07 : x
  2. Step 2: Convert to fraction form
    1,751.74/2,417.40 = 955.07/x
  3. Step 3: Cross multiply
    1,751.74x = 2,417.40 × 955.07
  4. Step 4: Simplify right side
    1,751.74x = 2,308,777.71
  5. Step 5: Solve for x
    x = 2,308,777.71/1,751.74
  6. Step 6: Final answer
    x = 1,317.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.