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Finding the Fourth Proportional to 1,313.19, 1,810.70 and 981.06

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Solution

The fourth proportional to 1,313.19, 1,810.70 and 981.06 is: 1,352.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.19 : 1,810.70 = 981.06 : x
  2. Step 2: Convert to fraction form
    1,313.19/1,810.70 = 981.06/x
  3. Step 3: Cross multiply
    1,313.19x = 1,810.70 × 981.06
  4. Step 4: Simplify right side
    1,313.19x = 1,776,405.34
  5. Step 5: Solve for x
    x = 1,776,405.34/1,313.19
  6. Step 6: Final answer
    x = 1,352.74

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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.