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Finding the Fourth Proportional to 1,417.76, 1,955.22 and 919.88

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Solution

The fourth proportional to 1,417.76, 1,955.22 and 919.88 is: 1,268.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417.76 : 1,955.22 = 919.88 : x
  2. Step 2: Convert to fraction form
    1,417.76/1,955.22 = 919.88/x
  3. Step 3: Cross multiply
    1,417.76x = 1,955.22 × 919.88
  4. Step 4: Simplify right side
    1,417.76x = 1,798,567.77
  5. Step 5: Solve for x
    x = 1,798,567.77/1,417.76
  6. Step 6: Final answer
    x = 1,268.60

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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.