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Finding the Fourth Proportional to 1,407.04, 1,931.31 and 1,346.90

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Solution

The fourth proportional to 1,407.04, 1,931.31 and 1,346.90 is: 1,848.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.04 : 1,931.31 = 1,346.90 : x
  2. Step 2: Convert to fraction form
    1,407.04/1,931.31 = 1,346.90/x
  3. Step 3: Cross multiply
    1,407.04x = 1,931.31 × 1,346.90
  4. Step 4: Simplify right side
    1,407.04x = 2,601,271.78
  5. Step 5: Solve for x
    x = 2,601,271.78/1,407.04
  6. Step 6: Final answer
    x = 1,848.76

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.