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Finding the Fourth Proportional to 1,580.93, 2,368.16 and 1,271.11

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Solution

The fourth proportional to 1,580.93, 2,368.16 and 1,271.11 is: 1,904.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.93 : 2,368.16 = 1,271.11 : x
  2. Step 2: Convert to fraction form
    1,580.93/2,368.16 = 1,271.11/x
  3. Step 3: Cross multiply
    1,580.93x = 2,368.16 × 1,271.11
  4. Step 4: Simplify right side
    1,580.93x = 3,010,173.66
  5. Step 5: Solve for x
    x = 3,010,173.66/1,580.93
  6. Step 6: Final answer
    x = 1,904.05

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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.