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Finding the Fourth Proportional to 1,390.08, 1,917.60 and 975.36

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Solution

The fourth proportional to 1,390.08, 1,917.60 and 975.36 is: 1,345.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,390.08 : 1,917.60 = 975.36 : x
  2. Step 2: Convert to fraction form
    1,390.08/1,917.60 = 975.36/x
  3. Step 3: Cross multiply
    1,390.08x = 1,917.60 × 975.36
  4. Step 4: Simplify right side
    1,390.08x = 1,870,350.34
  5. Step 5: Solve for x
    x = 1,870,350.34/1,390.08
  6. Step 6: Final answer
    x = 1,345.50

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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.