Home / 1,547.34-2,133.45-1,075.64

Finding the Fourth Proportional to 1,547.34, 2,133.45 and 1,075.64

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Solution

The fourth proportional to 1,547.34, 2,133.45 and 1,075.64 is: 1,483.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547.34 : 2,133.45 = 1,075.64 : x
  2. Step 2: Convert to fraction form
    1,547.34/2,133.45 = 1,075.64/x
  3. Step 3: Cross multiply
    1,547.34x = 2,133.45 × 1,075.64
  4. Step 4: Simplify right side
    1,547.34x = 2,294,813.49
  5. Step 5: Solve for x
    x = 2,294,813.49/1,547.34
  6. Step 6: Final answer
    x = 1,483.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.