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Finding the Fourth Proportional to 1,407.58, 1,945.02 and 1,075.48

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Solution

The fourth proportional to 1,407.58, 1,945.02 and 1,075.48 is: 1,486.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.58 : 1,945.02 = 1,075.48 : x
  2. Step 2: Convert to fraction form
    1,407.58/1,945.02 = 1,075.48/x
  3. Step 3: Cross multiply
    1,407.58x = 1,945.02 × 1,075.48
  4. Step 4: Simplify right side
    1,407.58x = 2,091,830.11
  5. Step 5: Solve for x
    x = 2,091,830.11/1,407.58
  6. Step 6: Final answer
    x = 1,486.12

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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.